2000 Fiscal Year Annual Research Report

幾何学的複素解析

Research Project

Project/Area Number	09304014
Research Institution	University of Tokyo
Principal Investigator	野口潤次郎東京大学, 大学院・数理科学研究科, 教授 (20033920)
Co-Investigator(Kenkyū-buntansha)	満渕俊樹大阪大学, 大学院・理学研究科, 教授 (80116102) 大沢健夫名古屋大学, 大学院・多元数理科学研究科, 教授 (30115802) 藤本坦孝金沢大学, 理学部, 教授 (60023595) 辻元東京工業大学, 大学院・理工学研究科, 助教授 (30172000) 風間英明九州大学, 大学院・数理学研究科, 教授 (10037252)
Keywords	多変数複素解析 / 幾何学的複素解析 / 小林双曲的多様体 / 値分布 / 不変計量 / モジュライ空間 / 擬凸領域 / タイヒミューラー空間
Research Abstract	値分布と双曲的多様体の理論では,準アーベル多様体内の正則曲線について懸案の第2主要定理を証明した.これには,過去いくつかの証明が発表されていたが不完全なものであった.開代数多様体内の整正則曲線の分布と整数点集合の分布が同じであることが分かり,その次元の評価を得た.(野口,山の井,Winkelmann).正則写像の一意性定理に種々の進展が得た(相原,藤本,城崎).新しい双曲的射影超曲面の構成が行われた(藤本,城崎). 複素領域のベルグマン核,ゼゲー核をCR解析幾何の観点から研究し新しい不変量を得た(平地,小松,神本).正規孤立特異点の変形を境界上の強擬凸CR構造の変形を通じて研究した。特異点の準普遍族をCR構造の変形を使って構成し、倉西の問題を肯定的に解決した(宮島).射影平面内のLevi平坦超曲面の非存在について,最も重要な場合である実解析的な場合の解決がなされた(大沢). 複素Lie群特に準トーラス上の関数論的性質について新しい結果を得た(風間,阿部,梅野).チューブ領域についての正則同型問題,楕円領域の境界による特徴付けについて興味ある結果が得られた(清水,児玉). 擬凸性をもつ複素多様体の射影空間への大域的埋め込みに関する,いわゆる中野-大沢の問題を解決した.さらにこれを応用することにより,20世紀初頭からあった問題,準アーベル多様体上のLefschetz型定理を解決した(高山).板東・カラビ・二木指標を,多様体の準安定性への障害として特徴付けに成功した(満渕).対合付きK3曲面の解析的トーションの保型形式の性質と無限積の研究(吉川),解析的Zariski分解の研究(辻)に興味ある進展があった. その他,多変数複素力学系,超幾何関数,特異点の複素幾何学的性質,その変形空間について種々の性質が解明された(上田,西村,寺田,加藤,泊,奥間,辻).以上,野口が本研究課題を総括した.

Research Products

(104 results)

All Other

All Publications (104 results)

[Publications] H.Kazama,D.K.Kim and C.Y.Oh: "Some remarks on complex Lie groups"Nagoya Math.J.. 157. 47-57 (2000)
[Publications] H.Kazama and S.Takayama: "On the ∂∂-equation over pseudoconvex Kahler manifolds"Manuscripta Math.. 102. 25-39 (2000)
[Publications] M.Kato: "A simple Pfaffian form representing the hypergeometric differential equation of type (3,6)"Kyushu Journal of Mathematics. 54. 219-224 (2000)
[Publications] M.Kato: "Appell's hypergeometric systems F_2 with finite irreducible monodromy groups"Kyushu Journal of Mathematics. 54. 279-305 (2000)
[Publications] T.Tomaru: "On Kodaira singularities defined by z^n=f(x,y)"Math.Z.. (in press).
[Publications] T.Tomaru: "Pinkham-Demazure construction for two dimensional cyclic quotient singularities"Tsukuba J.Math.. (in press).
[Publications] T.Okuma: "A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model"Proc.Amer.Math.Soc.. (in press).
[Publications] T.Okuma: "Simultaneous good resolutions of deformations of Gorenstein surface singularities"Internat.J.Math.. (in press).
[Publications] K.Hirachi: "CR invariants of weight 6"J.Korean Math.Soc.. 37. 177-191 (2000)
[Publications] K.Hirachi: "Construction of boundary invariants and the logarithmic singularity of the Bergman kernel"Annals of Mathematics. 151. 151-191 (2000)
[Publications] S.Tajima and Y.Nakamura: "An algorithm for computing the residue of a rational function via D-Modules"Josai Mathematical Monographes -Computer Algebra-. 2. 149-158 (2000)
[Publications] Y.Nakamura and S.Tajima: "Residue calculus with differential operators"Kyushu J.of Mathematics. 54. 127-138 (2000)
[Publications] 田島慎一: "代数的局所コホモロジー類のローラン展開とL.EhrenpreisのNoether作用素"京都大学数理解析研究所講究録,数式処理における理論と応用の研究. 1138. 87-95 (2000)
[Publications] S.Tajima and Y.Nakamura: "Computing point residues for a shape basis case via differential operators"京都大学数理解析研究所講究録,超局所解析とその周辺. 1158. 87-97 (2000)
[Publications] S.Tajima: "Grothendieck duality and Hermite-Jacobi formulas"in Finite or Infinite Dimensional Complex Analysis (eds by Kajiwara, Li and Shon) Dekker. 503-509 (2000)
[Publications] 田島慎一: "常微分作用素環におけるイデアルの共通部分"京都大学数理解析研究所講究録,D-加群のアルゴリズム. 1171. 156-163 (2000)
[Publications] 田島慎一, 中村弥生: "擬斉次孤立特異点の標準形に対する双対基底の計算"京都大学数理解析研究所講究録,D-加群のアルゴリズム. 1171. 164-189 (2000)
[Publications] 田島慎一: "非同次常微分方程式の可解条件について"京都大学数理解析研究所講究録,完全最急降下法. 1168. 66-79 (2000)
[Publications] S.Tajima and Y.Nakamura: "An algorithm for the local residue with the viewpoint of D-modules"Proc.ISAAC'99,Kluwer. (in press).
[Publications] S.Tajima: "Algebraic analysis of multivariate Hermite interpolation formulas"Proc.ISAAC99,Kluwer. (in press).
[Publications] S.Taijima and Y.Nakamura: "Local cohomology classes and dual bases for quasi-homogeneous isolated singularities"〓n Finite or Infinite Dimensional Complex Analysis 2000, China. (in press).
[Publications] Fujimoto,Hirotaka: "A family of hyperbolic hypersurfaces in the complex space"Complex Variables. (in press). (2001)
[Publications] Fujimoto,Hirotaka: "On uniqueness of meromorphic functions sharing finite sets"American Journal of Mathematics. (in press). (2001)
[Publications] I.Wakabayashi: "On a family of quartic Thue inequalities, II"J.Number Theory. 80. 60-88 (2000)
[Publications] K.Adachi: "Continuation of holomorphic functions from subvarieties to pseudoconvex domains"京都大学数理解析研究所講究録. 1155. 128-142 (2000)
[Publications] Y.Abe: "Universal functions on complex special linear groups"Proceedings of the Fourth International Conference on Difference Equations, Poznan, 1998. 1-8 (2000)
[Publications] Yoshihiro Aihara: "Unicity theorems for meromorphic mappings with deficiencies"Complex Variables.. 42. 259-268 (2000)
[Publications] Yoshihiro Aihara: "Algebraic dependence of meromorphic mappings with deficiencies into algebraic varieties"Proc.ISAAC'99 Fukuoka, (eds.P.Gilbert et al.), Kluwer Academic Publishers. (in press). (2000)
[Publications] M.Abe,M.Furushima and M.Yamasaki: "Analytic compactifications of C^2/G"Kyushu Journal of Mathematics. 54. 87-101 (2000)
[Publications] M.Abe: "Holomorphic affine C-bundles on the punctured complex affine plane"Proceedings of the Third International Workshop on Real and Complex Analysis, Seoul, Korea, June 8-9,2000. 71-74 (2000)
[Publications] M.Abe and M.Furushima: "On the meromorphic convexity of normality domains in a Stein manifold"Manuscripta Mathematica. (in press).
[Publications] 辻美輝: "Special reflexive modules and the first Chern class"Finite or Infinite Dimensional Complex Analysis, Lecture Notes in Pure and Applied Mathematics. 214. 549-581 (2000)
[Publications] 辻美輝: "Dimca hypersurfaces and Nagata automorphisms"Mathematische Nachrichten. 218. 175-184 (2000)
[Publications] H.Hamada and G.Kohr: "Univalent C^1 mappings on the unit ball in C^n"Finite or infinite dimensional complex analysis. 125-132 (2000)
[Publications] H.Hamada and G.Kohr: "Spirallike non- holomorphic mappings on balanced pseudoconvex domains"Complex Variables. 41. 253-265 (2000)
[Publications] H.Hamada: "Starlike mappings on bounded balanced domains with C^1-plurisubharmonic defining functions"Pacific J.Math.. 194. 359-371 (2000)
[Publications] H.Hamada,G.Kohr and P.Liczberski: "On some sufficient conditions for univalence in complex Banach spaces"Demonstratio Mathematica. 33. 289-294 (2000)
[Publications] H.Hamada,G.Kohr and P.Liczberski: "General partial differential subordinations for holomorphic mappings in complex Banach spaces"Demonstratio Mathematica. 33. 481-487 (2000)
[Publications] H.Hamada and G.Kohr: "Subordination chains and univalence of holomorphic mappings on bounded balanced pseudoconvex domains"Ann.Univ.Mariae Curie-Sklodowska, Sect.A.. (in press).
[Publications] H.Hamada and G.Kohr: "Some necessary and sufficient conditions of convexity on bounded balanced pseudo-convex domains in C^n"Complex Variables. (in press).
[Publications] H.Hamada and G.Kohr: "Subordination chains and the growth theorem of spirallike mappings"Mathematica (Cluj). (in press).
[Publications] H.Hamada and G.Kohr: "The growth theorem and quasiconformal extension of strongly spirallike mappings of type α"Complex Variables. (in press).
[Publications] H,Hamada and G.Kohr: "Linear invariant families on the unit polydisc"Mathematica (Cluj). (in press).
[Publications] H.Hamada,G.Kohr and P.Liczberski: "Starlike mappings of order α on the unit ball in complex Banach spaces"Glasnik Matematicki. (in press).
[Publications] H.Hamada and G.Kohr: "Φ-like C^1 mappings on the unit ball in C^n"Mathematica (Cluj). (in press).
[Publications] H.Hamada and G.Kohr: "An estimate of the growth of spirallike mappings relative to a diagonal matrix"Ann.Univ.Mariae Curie-Sklodowska, Sect.A.. (in press).
[Publications] K.Fujita: "On the double series expansion with harmonic components"Finite or Infinite Dimensional Complex Analysis : Lecture notes in pure and applied mathematics Marcel Dekker, New York. 77-86 (2000)
[Publications] K.Fujita and M.Morimoto: "Holomorphic functions on the dual Lie ball"Proceedings of the Second Congress ISAAC Kluwer Academic Publishers. (in press). (2000)
[Publications] K.Fujita and M.Morimoto: "Reproducing kernels related to the complex sphere"Tokyo J.Math.. 23. 161-185 (2000)
[Publications] K.Fujita: "Entire eigenfunctions of the Laplacian of exponential type with respect to the Lie norm and the dual Lie norm"Acta Matematica Vietnamica. 26(in press). (2001)
[Publications] K.Miyajima: "CR geometry/analysis and deformation of isolated singularities"J.Korean Math.Soc.. 37(2). 193-223 (2000)
[Publications] Masashi Kobayashi: "On the Convexity of the Kobayashi Metric on a Taut Complex Manifold"Pacific J.Math.. 194. 117-128 (2000)
[Publications] K.Yoshikawa: "解析的トーションとモジュライ空間上の保型形式"数学. 2. 142-158 (2000)
[Publications] K.-I.Yoshikawa: "Discriminant of theta divisors and Quillen metrics"J.Diff.Geom.. (in press). (2000)
[Publications] U.Cegrell and H.Yamaguchi: "Contstruction of equilibrium magnetic vector potentials"Potential analysis. (in press).
[Publications] H.Yamaguchi: "Complex and vector potential theory"Sugaku Exposition (AMS). 13. 173-196 (2000)
[Publications] M.Shirosaki and M.Ueda: "An analogue of Yi's theorem to holomorphic mappings"Proc.Japan Acad.Ser.A. 76. 1-3 (2000)
[Publications] M.Shirosaki: "A hypersurface which determines linearly non-degenerate holomorphic mappings"Kodai Math.J.. 23. 105-107 (2000)
[Publications] M.Shirosaki: "Hyperbolic hypersurfaces in the complex projective spaces of low dimensions"Kodai Math.J.. 23. 224-233 (2000)
[Publications] M.Shirosaki: "A hyperbolic hypersurface of degree 10"Kodai Math.J.. 23. 376-379 (2000)
[Publications] S.Shimizu: "A classification of two-dimensional tube domains"Amer.J.Math.. 122. 1289-1308 (2000)
[Publications] Tadashi Takahashi: "Practical Use and its Subject of Computer Algebra Systems"JOSAI MATHEMATICAL MONOGRAPHS. No.2. 87-89 (2000)
[Publications] J.Kajiwara,Y.Fukushima,L.Li and X.D.Li: "Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Oka's Principle"Finite or infinite Dimensional Complex Analysis Marcel Dekker Inc.. 179-199 (2000)
[Publications] J.Kajiwara and D.-G.Zhou: "Envelope of Biregularity and F-Convexity in Clifford Analysis"Finite or infinite Dimensional Complex Analysis Marcel Dekker Inc.. 201-208 (2000)
[Publications] X.D.Li and J.Kajiwara: "Global Generation and Holomorphy of Domains"Proceeding of the Eighth International Colloquium on Finite or Infinite Dimensional Complex Analysis Shandong University. (In press). (2000)
[Publications] T.Mabuchi: "Kahler-Einstein metrics for manifolds with nonvanishing Futaki character"to appear in Tohoku Math.J..
[Publications] T.Mabuchi: "Vector field energies and critical metrics on Kahler manifolds"to appear in Nagoya Math.J..
[Publications] T.Mabuchi: "A theorem of Calabi-Matsushima's type"to appear in Osaka J.Math..
[Publications] A.Kodama: "A remark on generalized complex ellipsoids with spherical boundary points"J.Korean Math.Soc.. 37. 285-295 (2000)
[Publications] E.Fujikawa,H.Shiga and M.Taniguchi: "On the action of the mapping class group for Riemann surfaces of infinite type"to appear in Prooceedings of the Second ISAAC Congress.
[Publications] H.Shiga: "On holomorphic families of rational maps : Finiteness, Rigidity and Stability"Kodai Math.J.. (in press).
[Publications] Joe Kamimoto: "On the multiplicities of the zeros of Laguerre-Polya functions"Proceedings of American Mathematical Society. 128. 189-194 (2000)
[Publications] J.Kamimoto: "On the multiplicities of the zeros of Laguerre-Polya functions"Proc.Amer.Math.Soc.. (in press). (2000)
[Publications] J.Kamimoto: "Non-analytic Bergman and Szego kernels on weakly pseudoconvex tube domains in C^2"Math.Z.. (in press). (2000)
[Publications] S.Takayama: "Simple connectedness of weak Fano varieties"J.Alg.Geom.. 9. 403-407 (2000)
[Publications] H.Kazama,S.Takayama: "On the ∂∂-equation over pseudoconvex Kahler manifolds"Manuscripta Math.. 102. 25-39 (2000)
[Publications] S.Saitoh: "Linear integro-differential equations and their applications"Volterra Equations and Applications (ed. by C.Corduneanu and I.W.Sandbery), Gordon and Breach Sci.Publishers. 433-440 (2000)
[Publications] G.Nakamura,S.Saitoh and A.Syarif: "Representations and harmonic extension formulas of harmonic functions on half spaces"Complex Variables. 42. 323-332 (2000)
[Publications] S.Saitoh: "Weighted L_p-norm inequalities in convolutions"Survey on Classical Inequalities, Kluwer Acadmic Publishers. (in press). (2000)
[Publications] K.Amano,S.Saitoh and M.Yamamoto: "Error estimates of the real inversion formulas of the Laplace transform"Integral Transforms and Special Functions. 10. 1-14 (2000)
[Publications] S.Saitoh,V.K.Tuan and M.Yamamoto: "Reverse weighted L_p-norm inequalities in convolutions and stability in inverse problems"J.of Inequalities in Pure and Applied Mathematics. 1(in press). (2000)
[Publications] V.K.Tuan,S.Saitoh and M.Saigo: "Size of support of initial heat distribution in the ID heat equation"Applicable Analysis. 74. 439-446 (2000)
[Publications] S.Saitoh: "Inverse source problems in the Helmholtz equation"Inverse problems and related topics, Chapman and Hall/ CRC Research Notes in Mathematics. 419. 133-143 (2000)
[Publications] K.Amano,Md.Asaduzzaman and S.Saitoh: "Representations of analytic functions on typical domains in terms of local values and truncation error estimates"Analytic Extension Formulas and their Applications Kluwer Academic Publishers. (in press). (2001)
[Publications] S.Ishii: "Hypersurface non-rational singularities which look canonical from their Newton boundaries"Math.Z.. (in press). (2000)
[Publications] T.Honda: "On continuities of the Borel transforms on the duals of spaces of continuous n-homogeneous polynomials on locally convex spaces"Fukuoka Univ.Sci.Reports. 30(in press). (2000)
[Publications] T.Honda: "The growth theorem of biholomorphic mappings on a Banach space"Bull.Irish Math.Soc.. (in press). (2000)
[Publications] T.Honda: "The Schwarz lemma on complex normed spaces"Proc.2nd ISAAC. (in press). (2000)
[Publications] S.Tsuboi: "Parameter spaces of locally trivial deformation spaces of compact complex surfaces with ordinary singularities""Proceedings of seventh international conference on finite or infinite dimensional complex analysis" (Dekker). (in press). (2000)
[Publications] K.Maegawa: "Classification of quadratic polynomial automorphisms of C^3 from dynamical view-point"Indiana Univ.Math.J.. (in press). (2000)
[Publications] K.Nishihara: "The extension of holomorphic functions on a nuclear space"Proc. Seventh Intern.Colloquium on Finite or Infinite Dimensional Complex Analysis. (in press). (2000)
[Publications] T.Ohsawa: "On the extension of L^2 holomorphic functions V - effects of generalization"Nagoya Math.J.. (in press). (2000)
[Publications] T.Ohsawa and N.Sibony: "Kahler identity on Levi flat manifolds and applications to the embedding"Nagoya Math.J.. 158. 87-93 (2000)
[Publications] T.Ohsawa: "Nonexistence of real analytic Levi flat hypersurfaces in P^2"Nagoya Math.J.. 158. 95-98 (2000)
[Publications] T.Ohsawa: "Extension and division on complex manifolds"Analytic extension formulas and their applications (Eds.S.Saitoh et al.), Kluwer Acad. Publ.. (in press).
[Publications] 西野利雄著(山口博史,N.Levenberg 共訳): "Function Theory in Several Complex Variables"American Mathematical Society. 361 (2001)
[Publications] Y.Morosawa,Y.Nishimura,M.Taniguchi and T.Ueda: "Holomorphic Dynamics"Cambridge University Press. (2000)
[Publications] T.Okuma: "Plurigenera of surface singularities"Nova Science Publishers. 98 (2000)
[Publications] S.Saitoh,N.Hayashi and M.Yamamoto (edited): "Analytic Extension Formulas and their Applications International Society for Analysis, Applications and Computation"Kluwer Academic Publishers. iii+285 (2001)
[Publications] J.Kajiwara,Z.Li and K.H.Shon 編: "Finite or Infinite Dimensional Complex Analysis"Marcel Dekker Inc.. ix+630 (2000)
[Publications] H.G.W.Begenr,R.P.Gilbert and J.Kajiwara 編: "Proceedings of the Second ISAAC Congress, Vol.1 and Vol.2"Kluwer Academic Publishers. 1606 (2000)
[Publications] G.Nakamura,S.Saitoh,J.K.Seo and M.Yamamoto (edited): "Inverse problems and related topics, Chapman & Hall/CRC Research Notes in Mathematics 419"Chapman & Hall/CRC UK. (2000)
[Publications] D.E.Edmunds,P.K.Jain,P.Jain,A.Kufner L.E.Persson and S.Saitoh (edited): "Function Spaces and Applications"Narosa Publishing House. (2000)
[Publications] 大沢健夫: "多変数複素解析入門-補間問題を中心に"東京大学大学院数理科学研究科セミナー刊行会. 138 (2000)

2000 Fiscal Year Annual Research Report

幾何学的複素解析

Principal Investigator

野口 潤次郎 東京大学, 大学院・数理科学研究科, 教授 (20033920)

Research Products

[Publications] H.Kazama,D.K.Kim and C.Y.Oh: "Some remarks on complex Lie groups"Nagoya Math.J.. 157. 47-57 (2000)

[Publications] H.Kazama and S.Takayama: "On the ∂∂-equation over pseudoconvex Kahler manifolds"Manuscripta Math.. 102. 25-39 (2000)

[Publications] M.Kato: "A simple Pfaffian form representing the hypergeometric differential equation of type (3,6)"Kyushu Journal of Mathematics. 54. 219-224 (2000)

[Publications] M.Kato: "Appell's hypergeometric systems F_2 with finite irreducible monodromy groups"Kyushu Journal of Mathematics. 54. 279-305 (2000)

[Publications] T.Tomaru: "On Kodaira singularities defined by z^n=f(x,y)"Math.Z.. (in press).

[Publications] T.Tomaru: "Pinkham-Demazure construction for two dimensional cyclic quotient singularities"Tsukuba J.Math.. (in press).

[Publications] T.Okuma: "A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model"Proc.Amer.Math.Soc.. (in press).

[Publications] T.Okuma: "Simultaneous good resolutions of deformations of Gorenstein surface singularities"Internat.J.Math.. (in press).

[Publications] K.Hirachi: "CR invariants of weight 6"J.Korean Math.Soc.. 37. 177-191 (2000)

[Publications] K.Hirachi: "Construction of boundary invariants and the logarithmic singularity of the Bergman kernel"Annals of Mathematics. 151. 151-191 (2000)

[Publications] S.Tajima and Y.Nakamura: "An algorithm for computing the residue of a rational function via D-Modules"Josai Mathematical Monographes -Computer Algebra-. 2. 149-158 (2000)

[Publications] Y.Nakamura and S.Tajima: "Residue calculus with differential operators"Kyushu J.of Mathematics. 54. 127-138 (2000)

[Publications] 田島慎一: "代数的局所コホモロジー類のローラン展開とL.EhrenpreisのNoether作用素"京都大学数理解析研究所講究録,数式処理における理論と応用の研究. 1138. 87-95 (2000)

[Publications] S.Tajima and Y.Nakamura: "Computing point residues for a shape basis case via differential operators"京都大学数理解析研究所講究録,超局所解析とその周辺. 1158. 87-97 (2000)

[Publications] S.Tajima: "Grothendieck duality and Hermite-Jacobi formulas"in Finite or Infinite Dimensional Complex Analysis (eds by Kajiwara, Li and Shon) Dekker. 503-509 (2000)

[Publications] 田島慎一: "常微分作用素環におけるイデアルの共通部分"京都大学数理解析研究所講究録,D-加群のアルゴリズム. 1171. 156-163 (2000)

[Publications] 田島慎一, 中村弥生: "擬斉次孤立特異点の標準形に対する双対基底の計算"京都大学数理解析研究所講究録,D-加群のアルゴリズム. 1171. 164-189 (2000)

[Publications] 田島慎一: "非同次常微分方程式の可解条件について"京都大学数理解析研究所講究録,完全最急降下法. 1168. 66-79 (2000)

[Publications] S.Tajima and Y.Nakamura: "An algorithm for the local residue with the viewpoint of D-modules"Proc.ISAAC'99,Kluwer. (in press).

[Publications] S.Tajima: "Algebraic analysis of multivariate Hermite interpolation formulas"Proc.ISAAC99,Kluwer. (in press).

[Publications] S.Taijima and Y.Nakamura: "Local cohomology classes and dual bases for quasi-homogeneous isolated singularities"〓n Finite or Infinite Dimensional Complex Analysis 2000, China. (in press).

[Publications] Fujimoto,Hirotaka: "A family of hyperbolic hypersurfaces in the complex space"Complex Variables. (in press). (2001)

[Publications] Fujimoto,Hirotaka: "On uniqueness of meromorphic functions sharing finite sets"American Journal of Mathematics. (in press). (2001)

[Publications] I.Wakabayashi: "On a family of quartic Thue inequalities, II"J.Number Theory. 80. 60-88 (2000)

[Publications] K.Adachi: "Continuation of holomorphic functions from subvarieties to pseudoconvex domains"京都大学数理解析研究所講究録. 1155. 128-142 (2000)

[Publications] Y.Abe: "Universal functions on complex special linear groups"Proceedings of the Fourth International Conference on Difference Equations, Poznan, 1998. 1-8 (2000)

[Publications] Yoshihiro Aihara: "Unicity theorems for meromorphic mappings with deficiencies"Complex Variables.. 42. 259-268 (2000)

[Publications] Yoshihiro Aihara: "Algebraic dependence of meromorphic mappings with deficiencies into algebraic varieties"Proc.ISAAC'99 Fukuoka, (eds.P.Gilbert et al.), Kluwer Academic Publishers. (in press). (2000)

[Publications] M.Abe,M.Furushima and M.Yamasaki: "Analytic compactifications of C^2/G"Kyushu Journal of Mathematics. 54. 87-101 (2000)

[Publications] M.Abe: "Holomorphic affine C-bundles on the punctured complex affine plane"Proceedings of the Third International Workshop on Real and Complex Analysis, Seoul, Korea, June 8-9,2000. 71-74 (2000)

[Publications] M.Abe and M.Furushima: "On the meromorphic convexity of normality domains in a Stein manifold"Manuscripta Mathematica. (in press).

[Publications] 辻美輝: "Special reflexive modules and the first Chern class"Finite or Infinite Dimensional Complex Analysis, Lecture Notes in Pure and Applied Mathematics. 214. 549-581 (2000)

[Publications] 辻美輝: "Dimca hypersurfaces and Nagata automorphisms"Mathematische Nachrichten. 218. 175-184 (2000)

[Publications] H.Hamada and G.Kohr: "Univalent C^1 mappings on the unit ball in C^n"Finite or infinite dimensional complex analysis. 125-132 (2000)

[Publications] H.Hamada and G.Kohr: "Spirallike non- holomorphic mappings on balanced pseudoconvex domains"Complex Variables. 41. 253-265 (2000)

[Publications] H.Hamada: "Starlike mappings on bounded balanced domains with C^1-plurisubharmonic defining functions"Pacific J.Math.. 194. 359-371 (2000)

[Publications] H.Hamada,G.Kohr and P.Liczberski: "On some sufficient conditions for univalence in complex Banach spaces"Demonstratio Mathematica. 33. 289-294 (2000)

[Publications] H.Hamada,G.Kohr and P.Liczberski: "General partial differential subordinations for holomorphic mappings in complex Banach spaces"Demonstratio Mathematica. 33. 481-487 (2000)

[Publications] H.Hamada and G.Kohr: "Subordination chains and univalence of holomorphic mappings on bounded balanced pseudoconvex domains"Ann.Univ.Mariae Curie-Sklodowska, Sect.A.. (in press).

[Publications] H.Hamada and G.Kohr: "Some necessary and sufficient conditions of convexity on bounded balanced pseudo-convex domains in C^n"Complex Variables. (in press).

[Publications] H.Hamada and G.Kohr: "Subordination chains and the growth theorem of spirallike mappings"Mathematica (Cluj). (in press).

[Publications] H.Hamada and G.Kohr: "The growth theorem and quasiconformal extension of strongly spirallike mappings of type α"Complex Variables. (in press).

[Publications] H,Hamada and G.Kohr: "Linear invariant families on the unit polydisc"Mathematica (Cluj). (in press).

[Publications] H.Hamada,G.Kohr and P.Liczberski: "Starlike mappings of order α on the unit ball in complex Banach spaces"Glasnik Matematicki. (in press).

[Publications] H.Hamada and G.Kohr: "Φ-like C^1 mappings on the unit ball in C^n"Mathematica (Cluj). (in press).

[Publications] H.Hamada and G.Kohr: "An estimate of the growth of spirallike mappings relative to a diagonal matrix"Ann.Univ.Mariae Curie-Sklodowska, Sect.A.. (in press).

[Publications] K.Fujita: "On the double series expansion with harmonic components"Finite or Infinite Dimensional Complex Analysis : Lecture notes in pure and applied mathematics Marcel Dekker, New York. 77-86 (2000)

[Publications] K.Fujita and M.Morimoto: "Holomorphic functions on the dual Lie ball"Proceedings of the Second Congress ISAAC Kluwer Academic Publishers. (in press). (2000)

[Publications] K.Fujita and M.Morimoto: "Reproducing kernels related to the complex sphere"Tokyo J.Math.. 23. 161-185 (2000)

[Publications] K.Fujita: "Entire eigenfunctions of the Laplacian of exponential type with respect to the Lie norm and the dual Lie norm"Acta Matematica Vietnamica. 26(in press). (2001)

[Publications] K.Miyajima: "CR geometry/analysis and deformation of isolated singularities"J.Korean Math.Soc.. 37(2). 193-223 (2000)

[Publications] Masashi Kobayashi: "On the Convexity of the Kobayashi Metric on a Taut Complex Manifold"Pacific J.Math.. 194. 117-128 (2000)

[Publications] K.Yoshikawa: "解析的トーションとモジュライ空間上の保型形式"数学. 2. 142-158 (2000)

[Publications] K.-I.Yoshikawa: "Discriminant of theta divisors and Quillen metrics"J.Diff.Geom.. (in press). (2000)

[Publications] U.Cegrell and H.Yamaguchi: "Contstruction of equilibrium magnetic vector potentials"Potential analysis. (in press).

[Publications] H.Yamaguchi: "Complex and vector potential theory"Sugaku Exposition (AMS). 13. 173-196 (2000)

[Publications] M.Shirosaki and M.Ueda: "An analogue of Yi's theorem to holomorphic mappings"Proc.Japan Acad.Ser.A. 76. 1-3 (2000)

[Publications] M.Shirosaki: "A hypersurface which determines linearly non-degenerate holomorphic mappings"Kodai Math.J.. 23. 105-107 (2000)

[Publications] M.Shirosaki: "Hyperbolic hypersurfaces in the complex projective spaces of low dimensions"Kodai Math.J.. 23. 224-233 (2000)

[Publications] M.Shirosaki: "A hyperbolic hypersurface of degree 10"Kodai Math.J.. 23. 376-379 (2000)

[Publications] S.Shimizu: "A classification of two-dimensional tube domains"Amer.J.Math.. 122. 1289-1308 (2000)

[Publications] Tadashi Takahashi: "Practical Use and its Subject of Computer Algebra Systems"JOSAI MATHEMATICAL MONOGRAPHS. No.2. 87-89 (2000)

[Publications] J.Kajiwara,Y.Fukushima,L.Li and X.D.Li: "Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Oka's Principle"Finite or infinite Dimensional Complex Analysis Marcel Dekker Inc.. 179-199 (2000)

[Publications] J.Kajiwara and D.-G.Zhou: "Envelope of Biregularity and F-Convexity in Clifford Analysis"Finite or infinite Dimensional Complex Analysis Marcel Dekker Inc.. 201-208 (2000)

[Publications] X.D.Li and J.Kajiwara: "Global Generation and Holomorphy of Domains"Proceeding of the Eighth International Colloquium on Finite or Infinite Dimensional Complex Analysis Shandong University. (In press). (2000)

[Publications] T.Mabuchi: "Kahler-Einstein metrics for manifolds with nonvanishing Futaki character"to appear in Tohoku Math.J..

[Publications] T.Mabuchi: "Vector field energies and critical metrics on Kahler manifolds"to appear in Nagoya Math.J..

[Publications] T.Mabuchi: "A theorem of Calabi-Matsushima's type"to appear in Osaka J.Math..

[Publications] A.Kodama: "A remark on generalized complex ellipsoids with spherical boundary points"J.Korean Math.Soc.. 37. 285-295 (2000)

[Publications] E.Fujikawa,H.Shiga and M.Taniguchi: "On the action of the mapping class group for Riemann surfaces of infinite type"to appear in Prooceedings of the Second ISAAC Congress.

[Publications] H.Shiga: "On holomorphic families of rational maps : Finiteness, Rigidity and Stability"Kodai Math.J.. (in press).

[Publications] Joe Kamimoto: "On the multiplicities of the zeros of Laguerre-Polya functions"Proceedings of American Mathematical Society. 128. 189-194 (2000)

[Publications] J.Kamimoto: "On the multiplicities of the zeros of Laguerre-Polya functions"Proc.Amer.Math.Soc.. (in press). (2000)

[Publications] J.Kamimoto: "Non-analytic Bergman and Szego kernels on weakly pseudoconvex tube domains in C^2"Math.Z.. (in press). (2000)

[Publications] S.Takayama: "Simple connectedness of weak Fano varieties"J.Alg.Geom.. 9. 403-407 (2000)

野口潤次郎東京大学, 大学院・数理科学研究科, 教授 (20033920)

[Publications] 西野利雄著(山口博史,N.Levenberg 共訳): "Function Theory in Several Complex Variables"American Mathematical Society. 361 (2001)