1999 Fiscal Year Annual Research Report

幾何学的複素解析

Research Project

Project/Area Number	09304014
Research Institution	The 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	強擬凸領域領域の研究では、ソボレフ・ベルグマン核の研究を中心に新しい成果が得られた(平地、小松、神本、)。大沢は、Levi平坦境界と、1の分解定理、補完問題に成果を上げた。神本も、境界値の可微分性に新しい結果を得た。強擬凸領域の境界に現れるCR多様体の研究では、宮嶋はCR変形と特異点の変形を関連させる研究をおこない、林本は、実解析的超曲面に対するCR同値問題の解決を試みた。濱田は、擬凸領域からの写像が単葉であるための解析的十分条件を調べた。安達は、有界正則関数の拡張可能性を示した。藤田は、ラプラス作用素の固有関数での積分表示式を与えた。値分布と双曲的多様体の理論では、相原は、有理型写像が代数的に従属する条件を求め、楕円曲線への写像が自己準同型で写りあう条件を与えた。城崎は、代数的非退化、線形非退化な正則写像についての一意性を示し、次数の小さい小林双曲的射影超曲面を見出した。森は、ネヴァンリナ除外値を持たない写像への変形を研究した。野口は、準アーベル多様体への正則曲線のラング予想を証明し、藤本の定理を拡張する正則写像の像の大きさを評価し、それと整数点分布の類似を示し、アーベル多様体及び準アーベル多様体への正則写像の第2主要定理を証明した。複素Lie群、複素等質空間、ケーラー多様体の研究では、風間、阿部、古島、辻、宮沢らが興味深い進展を与えた。複素楕円体の研究では、清水、児玉の結果や、梅野の準アーベル多様体の成果もある。その他に、解析的トージョン(吉川)、多項式凸包(神保)、複素力学系(志賀、前川、上田、西村)の新しい成果が出た。複素特異点の研究では、都丸(Kodaira特異点)、泊(Reid予想の反例)、坪井、奥間(数値的不変量)らによる進展をみた。以上、野口が本研究課題を総括した。

Research Products

(95 results)

All Other

All Publications (95 results)

[Publications] Y. Aihara: "The uniqueness problem of meromorphic mappings with deficiencies"Tohoku Math. J.. 51. 315-328 (1999)
[Publications] M. Kato: "A simple Pfaffian form representing the hypergeomeyric differential equation of type (3,6)"Kyusyu J. of Math.. (印刷中). (2000)
[Publications] M. Kato: "Appell's Hypergeometric systems F_2 with finite irreducible monodromy groups"Kyusyu J. of Math.. (印刷中). (2000)
[Publications] M. Abe: "Equicontinuity domains and disk property"Complex Variables Theory and Applications. 39. 19-25 (1999)
[Publications] M. Abe: "Some results on the Steinness of the total space of a holomorphic affine C^r-bundle"Kyusyu J. of Math.. 53. 395-406 (1999)
[Publications] M. Abe: "Analytic compactifications of C^2/G"Kyusyu J. of Math..
[Publications] T. Shigeharu: "The Levi problem and the structure theorem for non-negatively curved complete Kahler manifolds"J. Reine Angew. Math.. 504. 139-157 (1998)
[Publications] T. Takayama: "Nonvanishing theorems on an algebraic variety with large fundamental group"J. Alg. Geom.. 8. 181-195 (1999)
[Publications] H. Kazama: "d'd"-problem on weakly 1-complete Kahler manifolds"Nagoya Math. J.. 155. 81-94 (1999)
[Publications] T. Tomaru: "On Kodaira singularities defined by z_n=f(x,y)"Math. Z.. (in press).
[Publications] K. Fujita: "Hilbert spaces of eigenfunctions of the Laplacian, Reproducing Kernels and Their Applications"Kluwer Academic Publishers. 68-80 (1999)
[Publications] K. Fujita: "Integral representation for eigenfunctions of the Leplacian"J. Math. Soc. Japan. 51. 65-80 (1999)
[Publications] K. Fujita: "Conical Fourier transform of Hardy space of harmonic functions on the Lie ball"Proc. XII-th Conf. on Analytic Functions, Annales UMCS. 53(in press). (1999)
[Publications] K. Fujita: "On the double series expansion with harmonic comonents"Finte or Infinite Dimensional Compiex Analysis : 7th International Colloquium Marcel Dekker, New York. 71-80 (2000)
[Publications] K. Fujita: "Holomorphic functions on the dual Lie ball"Proc. the Second Congress ISAAC, Kluwer Academic Publishers. (in press).
[Publications] S. Mori: "Eliminetion of defects of meromorphic mappings of C^m into P^n(C)"Ann. Acad. Sci. Fenn. Math.. 24. 89-104 (1999)
[Publications] S. Ishii: "Hypersurface non-rational singularities which look canonical from their Nowton boundaries"Math. Z.. (in press). (2000)
[Publications] K. Kazama: "On the ∂∂-equation over pseudoconvex Kahler manifolds"Manuscripta Math.. (in press). (2000)
[Publications] J. Kamimoto: "The Bergman kernel for weakly pseudoconvex tube domains in C^2"Proc. Japan Academy Ser. A. 7. 12-15 (1999)
[Publications] J. Kamimoto: "The Bergman kernel on certain decoupled domains"Proc. ISAAC Cong. Reproducing kernels and their applications, Kluwer Academic Publishers. 109-124 (1999)
[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] H. Kazama: "∂∂-Problem on weakly 1-complete Kahler manifolds"Nagoya Math. J.. 155. 81-94 (1999)
[Publications] H. Kazama: "Some remarks on complex Lie groups"Nagoya Math. J.. 157(in press). (2000)
[Publications] T. Jimbo: "Polynomiaily convex hulls of garphs on the sphere"Proc. Amer. Math.. 127. 2697-2702 (1999)
[Publications] S. Shimizu: "Automorphisms and equivalence of tube domains with bounded base"Math. Ann.. 315. 295-320 (1999)
[Publications] T. Honda: "Integral representationa of continuous linear functions on a space of polynomials on any locally convex space and the dual of the space of approximable polynomials"Fukuoka Univ. Sci. Reports. 29. 1-6 (1999)
[Publications] M. Yoshida: "On some bilinear forms"Proc. 7th Intern. Colloq. Finite or Infinite Dimensional Complex Anaysis. 184-187 (1999)
[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] H. Hamada: "The growth theorem of convex mappings on the unit ball in C^n"Proc. Amer. Math. Soc.. 127. 1075-1077 (1999)
[Publications] H. Hamada: "Spirallike non-holomorphic mappings balanced pseudoconvex domains"Complex Variables. (in press). (2000)
[Publications] H. Hamada: "Subordination chains and univalence of holomorphic mappings on bounded balanced pseudoconvex domains"Ann. Univ. Marise Curie-Sklodowska, Sect.A.. (in press). (2000)
[Publications] H. Hamada: "Some necessary and sufficient conditions of convexity on bounded balanced pseudoconvex domains in C^n"Complex Variables. (in press). (2000)
[Publications] H. Hamada: "On some sufficient conditions for univalence in complex Banach spaces"Demonstratio Math.. (in press). (2000)
[Publications] H. Hamada: "Starlike mappings on bounded balanced domains with C^1-plurisubharmonic defining functions"Pacific J. Math. (in press). (2000)
[Publications] H. Hamada: "The growrh theorem and quasiconformal extension of strongly spirallike mappings of type α"Complex Variables. (in press). (2000)
[Publications] H. Hamada: "Univalent holomorphic mappings on a complex manifold with aC^1 exhaustion function"Manuscripta Math.. 99. 359-369 (1999)
[Publications] H. Hamada: "Φ-like holomorphic mappings on balanced pseudoconvex domains"Complex Variables. 39. 279-290 (1999)
[Publications] H. Hamada: "Convex mappings in several complex variables"Glasnik Matematiki. 34. 377-384 (1999)
[Publications] H. Hamada: "A characterization of linear automorphisms of the Euclidean ball"Ann. Pol. Math.. 72. 79-85 (1999)
[Publications] H. Hamada: "First order partial differential subordinations on bounded balanced pseudoconvex domains in C^n"Mathematica(Cluj). (in press). (2000)
[Publications] H. amada: "Strongly starlike mappings of order alpha on bounded balanced pseudoconvex domains"Rev. Roumaine Math. Pures Appl.. (in press). (2000)
[Publications] H. Hamada: "Univalent C^1 mappings on the unit ball in C^n"Proc. Finite or Infinite Dimensional Complex Analysis : 7th Internstional Colloquium, Marcel Dekker. (in press). (2000)
[Publications] H. Hamada: "General partial differential subordinations for holomorphic mappings in complex Banach spaces"Demmonstratio Math.. (in press). (2000)
[Publications] K.Adachi: "L^p and H^p extensions of holomorphic functions from subvarieties of analytic polyhedra"Pacific J. Math.. 189. 201-210 (1999)
[Publications] T. Okuma: "The polynomial periodicity of the plurigenra of surface singularities"Saitama Math. J.. 17(in press). (1999)
[Publications] T. Matsuno: "Compact Riemann surfaces with large automorphism groups"J. Math. Soc. Japan. 51. 309-329 (1999)
[Publications] K. -I.Yoshikawa: "Discriminant of theta divisors and Quillen metrics"J. Diff. Geom.. (in press). (2000)
[Publications] K. Hirachi: "Local Sobolev-Bergman kernels of Strictly Pseudoconvex Domains""Analysis and Geometry in Several Complex Variables", Trends in Math., Birkhuser. 64-96 (1999)
[Publications] K. Hirachi: "CR invariants of weight five in the Bergman kernel"Adv. in Math.. 143. 185-250 (1999)
[Publications] K. Hirachi: "Construction of boundary invariants and the logarithmic singularity of the Bergman kernel"Ann. Math.. 151(in press). (2000)
[Publications] S. Tajima: "An algorithm for the local residue with the viewpoint of D-modules"Proc. ISAAC'99, Kluwer. (in press). (2000)
[Publications] S. Tajima: "Alegebraic analysis of multivariate Hermite interpolation formulas"Proc. ISAAC'99, Kluwer. (in press). (2000)
[Publications] S. Tajima: "Grothendieck duality and Hermite-Jacobi formulas"Proc. Seventh International Conference on Several Complex Variables, Dekker. (in press). (2000)
[Publications] S. Tajima: "Residue calculus with differential operators"Kyushu J. Math.. 53(in press). (1999)
[Publications] 田島慎一: "D-加群を用いた留数計算アルゴリズムの局所化"数式処理. 7. 2-10 (1999)
[Publications] 田島慎一: "ホロノミックな定数係数線形偏微分方程式系のコーシー問題とグレブナ双対性"数式処理. 7. 17-18 (1999)
[Publications] 田島慎一: "D-加群を用いた多変数留数値計算(shape lemmaを満たす場合)"数式処理. 7. 19-20 (1999)
[Publications] A. Hayashimoto: "On the complete system for CR mappings and its related topics"Proc. Sixth internatinal conference on finite or infinite dimensional complex analysis. 63-69 (1999)
[Publications] A.Hayashimoto: "On the relations between the holomorphic extendability theorems and the finitenes properties"Contemporary Math.. 222. 219-226 (1999)
[Publications] Y. Abe: "Universal functions on complex general linear groups"J. Approximation Theory. 100. 221-232 (1999)
[Publications] Y. Abe: "Meromorphic functions admitting an algebraic addition theorem"Osaka J. Math.. 36. 343-361 (1999)
[Publications] T. Honda: "Linear Isometries on Hilbert Spaces"Complex Variables. 38. 193-200 (1999)
[Publications] T. Honda: "Note on Linear Holomorphic Maps"Reserch Reports of the A.N.C.T.. 35. 21-24 (1999)
[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: "Infinitesdimal locally trivial deformation spaces of algebraic surfaces with ordinary singularities"Proc. Japan Acad.. 75A. 99-102 (1999)
[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] S. Takeuchi: "Some remarks on the category of C/DR spaces"岐阜大教研報(自). 23-2. 15-20 (1999)
[Publications] S.Takeuchi: "Category of DR spaces"岐阜大教研報(自). 24-1. 7-12 (1999)
[Publications] S.Takeuchi: "Category of DR Lie algebrs"岐阜大教研報(自). 24-2. 1-6 (1999)
[Publications] A. Kodama: "A remark on generalized complex ellipsoids with spherical boundary points"J. Korean Math.. (in press). (2000)
[Publications] K. Miyajima: "CR construction of the flat deformations of normal isolated singularities"J. Alg. Geom.. 8. 403-470 (1999)
[Publications] K. Miyajima: "A note on the closed rengeness of vector bundle-valued tangential Cauchy-Riemann complex"Analysis and Geometry in Several Complex Variables, Proc. 40th Taniguchi Symposium, ed. G. Komatsu and M. Kuranishi, Treads in Mathematics, Birkhauser. 193-208 (1999)
[Publications] K. Miyajima: "CR geometry/analysis and deformation of isolated singularities"J. Korean Math. Soc.. (in press). (2000)
[Publications] M. Shirosaki: "A hyperbolic hypersurface of degree 10"Kodai. Math. J. (in press). (2000)
[Publications] M. Shirosaki: "A hypersurface which determines linearly non-degenerate holomorphic mappings"Kodai. Math. J. (in press). (2000)
[Publications] M. Shirosaki: "A analogue of Yi's theorem to holomorphic mappings"Proc. Japan Acad., Ser. A. 76. 1-3 (2000)
[Publications] K. Maegawa: "Classification of quadratic polynomial automorphisms of C^<3 > from dynamical viewpoint"Indiana Univ. Math. J.. (in press). (2000)
[Publications] K. Miyazawa: "Cohomologically completeness of unramified covering spaces with parameters"Saitama Math. J.. 17(in press). (1999)
[Publications] T. Umeno: "Riemann Conditions for Quasi-Abelian Varieties"Proc. Nith Intern. Colloq. Diff. Eq., Plovdiv, Bulgaria. 443-449 (1999)
[Publications] T. Umeno: "Complex Line Bundles on Toroidal Groups"Recent Developments in Complex Analysis and Computer Algebra, Kluwer Acad. Publ.. 323-330 (1999)
[Publications] T. Umeno: "Period Matrices of Quasi-Abelian Varieties"Bull. Fac. Engineering, Kyushu Sangyo Univ.. 36(in press). (1999)
[Publications] H. Shiga: "Projective structures on Riemann surfaces with discontinuous holonomies"Trans. Amer. Math. Soc.. 351. 813-823 (1999)
[Publications] K. Nishihara: "On the tensor product representation of polynomials of weak type"Recent Developments in Complex Analysis and Computer Algebra, R.P. Gilbert et al.(eds.). 259-266 (1999)
[Publications] K. Nishihara: "The extesion of holomorphic functions on a nuclear space"Proc. Seveth Intern. Colloquium on Finite or Infinite Dimensional Complex Analysis. (in press). (2000)
[Publications] J. Noguchi: "Value distribution theory of holomorphic mappings"Contemp. Math. Amer. Math. Soc.. 222. 109-129 (1999)
[Publications] T. Ohsawa: "Pseudoconvex domains in P^n : a question on the 1-convex boundary points"Analysis and Geometry in Several Complex Variables, Proc. 40th Taniguchi Symp., Birkhauser. 63-96 (1999)
[Publications] T. Ohsawa: "An essay on the Bergman metric and balanced domains"Proc. ISAAC ed. S. Saitoh et al., Kluwer Acad. Publ.. 141-148 (1999)
[Publications] T. Ohsawa: "On the extension of L^2 holomorphic functions V-effects of generalization"Nagoya Math. J.. (in press). (2000)
[Publications] T.Ohsawa: "Kahler identity on Levi flat manifolds and applications to the embedding"Nagoya Math. J.. (in press). (2000)
[Publications] T.Ohsawa: "Nonexistence of real analytic Levi flat hypersurfaces in P^2"Nagoya Math. J.. (in press). (2000)
[Publications] Y. Morosawa: "Holomorphic Dynamics"Cambridge University Press. (2000)
[Publications] Gen Komatsu: "Analysis and Geometry in Several Complex Variables (Proc.40th Taniguchi Symposium)"Birkhauser. (1999)
[Publications] 野口潤次郎: "複素解析概論第4版"裳華房. viii+307 (1999)

1999 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] Y. Aihara: "The uniqueness problem of meromorphic mappings with deficiencies"Tohoku Math. J.. 51. 315-328 (1999)

[Publications] M. Kato: "A simple Pfaffian form representing the hypergeomeyric differential equation of type (3,6)"Kyusyu J. of Math.. (印刷中). (2000)

[Publications] M. Kato: "Appell's Hypergeometric systems F_2 with finite irreducible monodromy groups"Kyusyu J. of Math.. (印刷中). (2000)

[Publications] M. Abe: "Equicontinuity domains and disk property"Complex Variables Theory and Applications. 39. 19-25 (1999)

[Publications] M. Abe: "Some results on the Steinness of the total space of a holomorphic affine C^r-bundle"Kyusyu J. of Math.. 53. 395-406 (1999)

[Publications] M. Abe: "Analytic compactifications of C^2/G"Kyusyu J. of Math..

[Publications] T. Shigeharu: "The Levi problem and the structure theorem for non-negatively curved complete Kahler manifolds"J. Reine Angew. Math.. 504. 139-157 (1998)

[Publications] T. Takayama: "Nonvanishing theorems on an algebraic variety with large fundamental group"J. Alg. Geom.. 8. 181-195 (1999)

[Publications] H. Kazama: "d'd"-problem on weakly 1-complete Kahler manifolds"Nagoya Math. J.. 155. 81-94 (1999)

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

[Publications] K. Fujita: "Hilbert spaces of eigenfunctions of the Laplacian, Reproducing Kernels and Their Applications"Kluwer Academic Publishers. 68-80 (1999)

[Publications] K. Fujita: "Integral representation for eigenfunctions of the Leplacian"J. Math. Soc. Japan. 51. 65-80 (1999)

[Publications] K. Fujita: "Conical Fourier transform of Hardy space of harmonic functions on the Lie ball"Proc. XII-th Conf. on Analytic Functions, Annales UMCS. 53(in press). (1999)

[Publications] K. Fujita: "On the double series expansion with harmonic comonents"Finte or Infinite Dimensional Compiex Analysis : 7th International Colloquium Marcel Dekker, New York. 71-80 (2000)

[Publications] K. Fujita: "Holomorphic functions on the dual Lie ball"Proc. the Second Congress ISAAC, Kluwer Academic Publishers. (in press).

[Publications] S. Mori: "Eliminetion of defects of meromorphic mappings of C^m into P^n(C)"Ann. Acad. Sci. Fenn. Math.. 24. 89-104 (1999)

[Publications] S. Ishii: "Hypersurface non-rational singularities which look canonical from their Nowton boundaries"Math. Z.. (in press). (2000)

[Publications] K. Kazama: "On the ∂∂-equation over pseudoconvex Kahler manifolds"Manuscripta Math.. (in press). (2000)

[Publications] J. Kamimoto: "The Bergman kernel for weakly pseudoconvex tube domains in C^2"Proc. Japan Academy Ser. A. 7. 12-15 (1999)

[Publications] J. Kamimoto: "The Bergman kernel on certain decoupled domains"Proc. ISAAC Cong. Reproducing kernels and their applications, Kluwer Academic Publishers. 109-124 (1999)

[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] H. Kazama: "∂∂-Problem on weakly 1-complete Kahler manifolds"Nagoya Math. J.. 155. 81-94 (1999)

[Publications] H. Kazama: "Some remarks on complex Lie groups"Nagoya Math. J.. 157(in press). (2000)

[Publications] T. Jimbo: "Polynomiaily convex hulls of garphs on the sphere"Proc. Amer. Math.. 127. 2697-2702 (1999)

[Publications] S. Shimizu: "Automorphisms and equivalence of tube domains with bounded base"Math. Ann.. 315. 295-320 (1999)

[Publications] T. Honda: "Integral representationa of continuous linear functions on a space of polynomials on any locally convex space and the dual of the space of approximable polynomials"Fukuoka Univ. Sci. Reports. 29. 1-6 (1999)

[Publications] M. Yoshida: "On some bilinear forms"Proc. 7th Intern. Colloq. Finite or Infinite Dimensional Complex Anaysis. 184-187 (1999)

[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] H. Hamada: "The growth theorem of convex mappings on the unit ball in C^n"Proc. Amer. Math. Soc.. 127. 1075-1077 (1999)

[Publications] H. Hamada: "Spirallike non-holomorphic mappings balanced pseudoconvex domains"Complex Variables. (in press). (2000)

[Publications] H. Hamada: "Subordination chains and univalence of holomorphic mappings on bounded balanced pseudoconvex domains"Ann. Univ. Marise Curie-Sklodowska, Sect.A.. (in press). (2000)

[Publications] H. Hamada: "Some necessary and sufficient conditions of convexity on bounded balanced pseudoconvex domains in C^n"Complex Variables. (in press). (2000)

[Publications] H. Hamada: "On some sufficient conditions for univalence in complex Banach spaces"Demonstratio Math.. (in press). (2000)

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

[Publications] H. Hamada: "The growrh theorem and quasiconformal extension of strongly spirallike mappings of type α"Complex Variables. (in press). (2000)

[Publications] H. Hamada: "Univalent holomorphic mappings on a complex manifold with aC^1 exhaustion function"Manuscripta Math.. 99. 359-369 (1999)

[Publications] H. Hamada: "Φ-like holomorphic mappings on balanced pseudoconvex domains"Complex Variables. 39. 279-290 (1999)

[Publications] H. Hamada: "Convex mappings in several complex variables"Glasnik Matematiki. 34. 377-384 (1999)

[Publications] H. Hamada: "A characterization of linear automorphisms of the Euclidean ball"Ann. Pol. Math.. 72. 79-85 (1999)

[Publications] H. Hamada: "First order partial differential subordinations on bounded balanced pseudoconvex domains in C^n"Mathematica(Cluj). (in press). (2000)

[Publications] H. amada: "Strongly starlike mappings of order alpha on bounded balanced pseudoconvex domains"Rev. Roumaine Math. Pures Appl.. (in press). (2000)

[Publications] H. Hamada: "Univalent C^1 mappings on the unit ball in C^n"Proc. Finite or Infinite Dimensional Complex Analysis : 7th Internstional Colloquium, Marcel Dekker. (in press). (2000)

[Publications] H. Hamada: "General partial differential subordinations for holomorphic mappings in complex Banach spaces"Demmonstratio Math.. (in press). (2000)

[Publications] K.Adachi: "L^p and H^p extensions of holomorphic functions from subvarieties of analytic polyhedra"Pacific J. Math.. 189. 201-210 (1999)

[Publications] T. Okuma: "The polynomial periodicity of the plurigenra of surface singularities"Saitama Math. J.. 17(in press). (1999)

[Publications] T. Matsuno: "Compact Riemann surfaces with large automorphism groups"J. Math. Soc. Japan. 51. 309-329 (1999)

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

[Publications] K. Hirachi: "Local Sobolev-Bergman kernels of Strictly Pseudoconvex Domains""Analysis and Geometry in Several Complex Variables", Trends in Math., Birkhuser. 64-96 (1999)

[Publications] K. Hirachi: "CR invariants of weight five in the Bergman kernel"Adv. in Math.. 143. 185-250 (1999)

[Publications] K. Hirachi: "Construction of boundary invariants and the logarithmic singularity of the Bergman kernel"Ann. Math.. 151(in press). (2000)

[Publications] S. Tajima: "An algorithm for the local residue with the viewpoint of D-modules"Proc. ISAAC'99, Kluwer. (in press). (2000)

[Publications] S. Tajima: "Alegebraic analysis of multivariate Hermite interpolation formulas"Proc. ISAAC'99, Kluwer. (in press). (2000)

[Publications] S. Tajima: "Grothendieck duality and Hermite-Jacobi formulas"Proc. Seventh International Conference on Several Complex Variables, Dekker. (in press). (2000)

[Publications] S. Tajima: "Residue calculus with differential operators"Kyushu J. Math.. 53(in press). (1999)

[Publications] 田島 慎一: "D-加群を用いた留数計算アルゴリズムの局所化"数式処理. 7. 2-10 (1999)

[Publications] 田島 慎一: "ホロノミックな定数係数線形偏微分方程式系のコーシー問題とグレブナ双対性"数式処理. 7. 17-18 (1999)

[Publications] 田島 慎一: "D-加群を用いた多変数留数値計算(shape lemmaを満たす場合)"数式処理. 7. 19-20 (1999)

[Publications] A. Hayashimoto: "On the complete system for CR mappings and its related topics"Proc. Sixth internatinal conference on finite or infinite dimensional complex analysis. 63-69 (1999)

[Publications] A.Hayashimoto: "On the relations between the holomorphic extendability theorems and the finitenes properties"Contemporary Math.. 222. 219-226 (1999)

[Publications] Y. Abe: "Universal functions on complex general linear groups"J. Approximation Theory. 100. 221-232 (1999)

[Publications] Y. Abe: "Meromorphic functions admitting an algebraic addition theorem"Osaka J. Math.. 36. 343-361 (1999)

[Publications] T. Honda: "Linear Isometries on Hilbert Spaces"Complex Variables. 38. 193-200 (1999)

[Publications] T. Honda: "Note on Linear Holomorphic Maps"Reserch Reports of the A.N.C.T.. 35. 21-24 (1999)

[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: "Infinitesdimal locally trivial deformation spaces of algebraic surfaces with ordinary singularities"Proc. Japan Acad.. 75A. 99-102 (1999)

[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] S. Takeuchi: "Some remarks on the category of C/DR spaces"岐阜大教研報(自). 23-2. 15-20 (1999)

[Publications] S.Takeuchi: "Category of DR spaces"岐阜大教研報(自). 24-1. 7-12 (1999)

[Publications] S.Takeuchi: "Category of DR Lie algebrs"岐阜大教研報(自). 24-2. 1-6 (1999)

[Publications] A. Kodama: "A remark on generalized complex ellipsoids with spherical boundary points"J. Korean Math.. (in press). (2000)

[Publications] K. Miyajima: "CR construction of the flat deformations of normal isolated singularities"J. Alg. Geom.. 8. 403-470 (1999)

[Publications] K. Miyajima: "A note on the closed rengeness of vector bundle-valued tangential Cauchy-Riemann complex"Analysis and Geometry in Several Complex Variables, Proc. 40th Taniguchi Symposium, ed. G. Komatsu and M. Kuranishi, Treads in Mathematics, Birkhauser. 193-208 (1999)

[Publications] K. Miyajima: "CR geometry/analysis and deformation of isolated singularities"J. Korean Math. Soc.. (in press). (2000)

野口潤次郎東京大学, 大学院・数理科学研究科, 教授 (20033920)

[Publications] 田島慎一: "D-加群を用いた留数計算アルゴリズムの局所化"数式処理. 7. 2-10 (1999)

[Publications] 田島慎一: "ホロノミックな定数係数線形偏微分方程式系のコーシー問題とグレブナ双対性"数式処理. 7. 17-18 (1999)

[Publications] 田島慎一: "D-加群を用いた多変数留数値計算(shape lemmaを満たす場合)"数式処理. 7. 19-20 (1999)

[Publications] 野口潤次郎: "複素解析概論第4版"裳華房. viii+307 (1999)