2003 Fiscal Year Annual Research Report

複素解析構造の総合的研究

Research Project

Project/Area Number	13304009
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) 宍倉光広京都大学, 大学院・理学研究科, 教授 (70192606) 風間英明九州大学, 大学院・数理学研究院, 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 / 擬凸領域 / モジュライ空間 / 複素力学系 / タイヒミューラー空間
Research Abstract	昨年度の研究で明らかになった諸問題を,引き続き各分担者を中心に研究協力者とともに研究が進められた.葉山多変数複素解析シンポジウムをはじめ,いくつかの研究集会が開催され,海外の研究者の参加を得て,成果の国際的発信を行い,共同研究を行った. 代表者を中心として正則写像の値分布の研究が行われ,準アーベル多様体への正則曲線についてそのジェット像の構造定理を得た。さらに、Winkelmann、山ノ井との共同研究で第二主要定理の打ち切りレベルを1にできることについて証明ができた。これには重要な応用があり、30年前に提出されたM.Greenによる予想が肯定的かつより一般的な形で解決される。宮嶋,赤堀らは,CR構造の解析/幾何を(正規)孤立特異点芽の変形へ応用する研究を行った.特異点の境界からは捉えられないような変形空間の精密な構造を得るために,特異点解消の変形理論をCR構造からのアプローチと関連付けた.満渕は,多様体の安定性に関する小林-ヒッチン対応」の重力場版として,「extremal Kahler polarized algebraic manifoldsのChow安定性を得た.これは.安定性に関する最近のDonaldsonの結果の一般化になっている.清水は,初等ラインハルト領域と呼ばれる非有界ラインハルト領域に関する正則同値問題へは,近年,多重複素グリーン関数を利用する形での解答が与えられていたが,正則自己同型群の理論を利用するという,それとは別の視点から,同問題へ解答を与えた.無限次元タイヒミュラー空間の構造を研究した。まず,写像類群の作用の不連続性を考察し,作用が不連続になるための十分条件をRiemann面上の双曲計量を用いて与えた.また,Riemann面上のlength spectrumで定まる距離とタイヒミュラー距離との関連性について考察し,両者の定める位相が一般に異なることを証明した. ポテンシャル論との関係で相川は,境界の容量密度条件の下で,一様領域,内部一様領域、John領域が境界Harnack原理や調和測度の評価で特徴付けられることを示した。また,非可積分な核に対する境界挙動を調べ,Fatou型の定理とLittlewood型の定理を導いた.

Research Products

(104 results)

All Other

All Publications (104 results)

[Publications] Noguchi, J., Winkelmann, J.: "A note on jets of entire curves in semi-abelian varieties"Math.Z.. 244. 705-710 (2003)
[Publications] J.Noguchi: "An arithmetic property of Shirosaki's hyperbolic projective hypersurface, Bounds for curves in abelian varieties"Forum Math.. 15. 935-941 (2003)
[Publications] Noguchi, J., Winkelmann, J.: "Bounds for curves in abelian varieties"J.reine angew.Math. (To appear).
[Publications] J.Noguchi: "Intersection multiplicities of holomorphic and algebraic curves with divisors, to appear in Proc."OKA 100 Conference Kyoto/Nara 2001. (To appear).
[Publications] T.Nomura: "Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains"J.Funct.Anal.. 198. 229-267 (2003)
[Publications] A.Kodama, S.Shimizu: "A characterization of (C^k×C^*)^1 from the viewpoint of biholomorphic automorphism groups"J.Korean Math.Soc.. 40. 563-575 (2003)
[Publications] A.Kodama, S.Shimizu: "A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space"Osaka J.Math.. 41. 1-11 (2004)
[Publications] H.Shiga: "On holomorphic mappings of complex manifolds with ball model"J.Math.Soc.Japan. (To appear).
[Publications] H.Shiga: "Dirichlet solutions on bordered Riemann surfaces and quasiconformal mappings"J.D'Analyse Math.. (To appear).
[Publications] Fujikawa, E., H.Shiga, M.Taniguchi: "On the action of the mapping class group for Riemann surfaces of infinite type"J.Math.Soc.Japan. (To appear).
[Publications] H.Shiga: "On a distance defined by the length spectrum on Teichmuller space"Ann.Acad.Sci.Fenn.. 28. 315-326 (2003)
[Publications] Ishizaki K., I.Laine, S.Shimomura, K.Tohge: "Riccati differential equations with elliptic coefficients II"Tohoku Math.J.. 55. 99-108 (2003)
[Publications] Ishizaki, K., N.Yanagihara: "Wiman--Valiron method for difference equations"Nagoya Math.J.. (To appear).
[Publications] H.Aikawa, T.Lundh, T.Mizutani: "Martin boundary of a fractal domain"Potential Anal.. 18. 311-357 (2003)
[Publications] 相川弘明: "複雑領域のMartin境界と境界Hamack原理"数学. 55. 1-19 (2003)
[Publications] H.Aikawa: "Positive harmonic functions of finite order in a {D}enjoy type domain"Proc.Amer.Math.Soc.. 131. 3873-3881 (2003)
[Publications] H.Aikawa: "Martin boundary and boundary harnack principle for non-smooth domains"Sugaku Expositions. (To appear).
[Publications] H.Aikawa: "Potential theoretic characterizations of nonsmooth domains"Bull.London Math.Soc.. (To appear).
[Publications] Y Mizuta, T.Shimomura: "On semi-fine limits at infinity for BLD and monotone BLD functions"Potential Analysis. 19. 365-381 (2003)
[Publications] T.Futamura, Y.Mizuta: "Lindelof theorems for monotone Sobolev functions"Acad.Sci.Fenn.Ser.A.I.Math.. 28. 271-277 (2003)
[Publications] Y.Mizuta, T.Shimomura: "Growth properties for modified Poisson integrals in a half space"Pacific Math.J.. 212. 333-346 (2003)
[Publications] M.Kato, M.Noumi: "Monodromy groups of hypergeometric functions satisfying algebraic equations"Tohoku Math.J.. 55. 189-205 (2003)
[Publications] M.Kato: "A Schwarz map of Appell's F_2 with projectivemonodromy group of order 25920"Kyushu J.Math.. 57. 117-127 (2003)
[Publications] M.Kato: "Differential equations for invariant curves under Klein's simple group of order 168"Kyushu J.Math.. (To appear).
[Publications] Y.Matsugu, J.Miyazawa: "A characterization of weighted Bergman- Orlicz spaces on the unit ball of Cn"J.Austral.Math.Soc.. 74. 5-17 (2003)
[Publications] Y.Matsugu, S.Ueki: "Algebra homomorphisms on the Privalov spaces in the unit ball Bn"Far East J.Math.Sci.. 11. 1-17 (2003)
[Publications] Hideaki KAZAMA, Kyungnam KIM: "Diophantine Approximations and Kodaira's Lemma"Kyushu Journal of Mathematics. (To appear). (2004)
[Publications] T.Matsushima: "Bounded holomorphic functions and maps with some boundary behavior"Journal of Mathematical Analysis and Applications. 285. 691-707 (2003)
[Publications] T.Matsushima: "Bounded holomorphic function with some boundary behavior"Progress in Analysis. 1. 193-197 (2003)
[Publications] K.Yamanoi: "Algebro-geometric version of Nevanlinna's lemma on logarithmic derivative and applications"Nagoya Math.J.. (To appear). (2004)
[Publications] K.Yamanoi: "On Nevanlinna theory for holomorphic curves in Abelian varieties"Proceedings of the Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables, Kyoto/Nara 2001. (To appear).
[Publications] K.Yamanoi: "Holomorphic curves in abelian varieties and intersection with higher codimensional subvarieties"Forum Math.. (To appear).
[Publications] K.Yamanoi: "Defect relations for rational functions as targets"Forum Math.. (To appear).
[Publications] K.Yamanoi: "The second main theorem for small functions and related problems"Acta Math.. (To appear).
[Publications] T.Okuma: "On-(P・P) -constant deformations of Gorenstein surface singularities"Comment.Math.Helv.. (To appear). (2004)
[Publications] Y.Abe: "Construction of automorphic forms for amplefactors of quasi-abelian varieties"Kyushu J.Math.. 57. 51-85 (2003)
[Publications] Y.Abe, P.Zappa: "Universal functions on Stein manifolds"J.Math.Soc.Japan. 56(To appear). (2004)
[Publications] K.-I.Yoshikawa: "K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space"Invent.Math.. (To appear). (2004)
[Publications] K.-I.Yoshikawa: "Nikulin's K3 surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds Phi-function"Adv.Studies Pure Math.. (To appear).
[Publications] A.Yamada Yoshikawa, K.-I.Yoshikawa: "Isolated critical points and adiabatic limits of Chern forms"Seminaires et Congres (Soc.Math.France). (To appear).
[Publications] K.-I.Yoshikawa: "Analytic torsion and automorphic forms on the moduli space"Sugaku Exp.. (To appear).
[Publications] Kenzo Adachi: "L^p extensions of holomorphic function from submanifolds to strictly psudoconvex domains with non-smooth boundary"Nagoya Math.J.. 172. 103-110 (2003)
[Publications] Kenzo Adachi: "Integral formula and its applications to the d-bar problem and the extension problem"Proceedings of the 3rd International ISAAC Congress. 1. 437-444 (2003)
[Publications] Takao Akahori: "Homogeneous polynomial hypersurface isolated singularities"J.Korean Math.Soc.. 667-680 (2003)
[Publications] 小林正史: "小林計量による凸領域の特徴付けについて"数理解析研究所講究録. 1314. 55-62 (2003)
[Publications] J.Yueping, S.Kamiya, J.Parker: "Jorgensen's inequality for complex hyperbolic space"Geometriae Dedicata. 97. 55-80 (2003)
[Publications] S.Kamiya: "Generalized isometric spheres and fundamental domains for discrete subgroups of PU(1,n;C)"Proc.Japan Acad.. 79. 105-109 (2003)
[Publications] Hisako Watanabe: "Estimates of the Besov norms on the fractal boundary and applications"J.Math.Soc.Japan. 55. 565-589 (2003)
[Publications] S.Shimomura: "Growth of the first, the second and the fourth Painleve transcendents"Math.Proc.Camb.Phil.Soc.. 134. 259-269 (2003)
[Publications] S.Shimomura: "Meromorphic solutions of Painleve differential equations"Complex Differential and Functional Equations, Mekrijarvi 2000, ed. by I. Laine, University of Joensuu, Department of Mathematics, Report Series. 5. 107-124 (2003)
[Publications] S.Shimomura: "Lower estimates for the growth of Painleve transcendents"46. 287-295 (2003)
[Publications] S.Shimomura: "Proofs of the Painleve property for all Painleve equations"Japan.J.Math.. 29. 159-180 (2003)
[Publications] S.Shimomura: "Poles and α-points of meromorphic solutions of the first Painleve hierarchy"Publ.Res.Inst.Math.Sci.. (To appear). (2004)
[Publications] S.Shimomura: "Lower estimates for the growth of the fourth and the Painleve transcendents"Proc.Edinburgh Math.Soc.. (To appear).
[Publications] H.Fujimoto: "On uniqueness polynomials for meromorphic functions"Nagoya Mathematical Journal. 170. 33-46 (2003)
[Publications] H.Fujimoto: "Some examples of hyperbolic hypersurfaces in the complex projective space"Journal of the Korean Mathematical Society. 40. 595-607 (2003)
[Publications] 林本厚志: "構造関数とCR同値問題"京都大学数理解析研究所講究録. 1314. 80-89 (2003)
[Publications] Atsushi Hayashimoto, Sung-Yeon Kim, Dmitri Zaitsev: "Decomposition of CR-Manifolds and Splitting of CR-Mappings"Ann.Scoula Norm.Sup.Pisa.. Serie V Vol II. 433-448 (2003)
[Publications] G.G.Gundersen, K.Tohge: "Unique range sets for polynomials or rational functions"Progress in Analysis, Proceedings of the 3rd ISAAC Congress. 1. 235-246 (2003)
[Publications] G.G.Gundersen, K.Tohge: "Entire and meromorphic solutions of f^5+g^5+h^5=1"Univ.Joensuu Dept.Math.Report series. (To appear). (2004)
[Publications] 木村秀幸, 栗林泉: "Period matrix of a hyperelliptic Riemann surface of genus 3"愛知産業大学紀要. 11. 87-92 (2003)
[Publications] H.Kimura: "Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4"Journal of Algebra. 264. 26-54 (2003)
[Publications] 木村秀幸, 栗林泉: "自己同型群を持つRiemann面のFuchs群について"京都大学数理解析研究所講究録. 1329. 36-47 (2003)
[Publications] C.H.Chu, T.Honda: "A Schwarz lemma for bounded symmetric domains in Hilbert spaces"the Mathematical Proceedings of the Royal Irish Academy. 103A-1. 45-53 (2003)
[Publications] T.Honda: "Holomorphic mappings into some domain in a complex normed space"J.Korean Math.Soc.. 41-1. 145-156 (2004)
[Publications] M.Aoyagi, S.Watanabe: "[チュートリアル講演]Resolution of singularities and its application to learning theory"Technical report of IEICE, NC2003-26. 26. 25-30 (2003)
[Publications] M.Aoyagi: "Artin component and Weyl group for dihedral singularity"数理解析研究所講究録、多変数関数論の萌芽的研究. 1314. 11-27 (2003)
[Publications] M.Morimoto, K.Fujita: "Analytic functions and analytic functionals on some balls"Proceedings of the Third ISAAC Congress Kluwer Academic Publishers. 150-159 (2003)
[Publications] K.Fujita: "Harmonic Bergman kernel for some balls"Universitatis Iagellonicae Acta Mathematica. (To appear). (2003)
[Publications] K.Fujita: "Bergman kernel for the Two-dimensional balls"Complex Variable. (To appear).
[Publications] 藤田景子: "複素球状領域のBergman核"京都大学数理解析研究所講究録. (To appear).
[Publications] Y.Aihara: "Algebraic dependence of meromorphic mappings in value distribution theory"Nagoya Math.J.. 269. 145-178 (2003)
[Publications] Y.Aihara: "Uniqueness problem of meromorphic mappings on analytic covering spaces"Progress in Analysis (eds. H Begehr et al.), World Scientific. 1. 278-286 (2003)
[Publications] H.Hamada, G.Kohr: "Loewner chains and quasiconformal extension of holomorphic mappings"Ann.Polon.Math.. 81. 85-100 (2003)
[Publications] H.Hamada, G.Kohr: "Simple criterions for strongly starlikeness and starlikeness of certain order"Math.Nachr.. 254・255. 165-171 (2003)
[Publications] H.Hamada, H.Segawa: "An elementary proof of a Schwarz lemma for the symmetrized bidisc"Demonstratio Mathematica. 36. 329-334 (2003)
[Publications] H.Hamada, G.Kohr: "Order of linear invariant families on the ball and polydiec of C^n"Rev.Roumaine Math.Pures Appl.. 48. 143-151 (2003)
[Publications] Tadashi Takahashi: "The Deformations of 3-dimensional Singularity which appears in Groebner Base"Proc.of Second International Congress on Mechatronics. (To appear).
[Publications] T.Umeno: "Period matrices for quasi-Abelian varieties"Japan.J.Math.. 20. 117-133 (2003)
[Publications] Hideaki Kazama, Kyungnam Kim, Takashi Umeno: "Meromorphic functions on toroidal groups"Proceedings of the Seventh International Workshop on Real and Complex Analysis, Hiroshima University. (To appear). (2003)
[Publications] K.Miyajima: "Strongly pseudoconvex CR manifolds and deformation of normal isolated singularities"SUGAKU EXPOSITIONS. 16. 709-725 (2003)
[Publications] K.Miyajima: "Analytic approach to deformation of resolution of normal isolated singularities : Formal deformations"J.Korean Math.Soc.. 40. 709-725 (2003)
[Publications] K.Miyajima: "CR description of the formal deformations of quasi-homogeneous singularities"quaderni di matematica. 9. 249-280 (2003)
[Publications] Nishio, Masaharu, Shimomura, Katsunori: "A characterization of caloric morphisms between manifolds"Ann.Acad.Sci.Fenn.Math.. 28. 111-122 (2003)
[Publications] N Suzuki, N.A.Watson: "Mean value densities for temperatures"Colloq.Math.. 98. 87-96 (2003)
[Publications] A.Fujiki: "Twistor spaces of algebraic dimension two associated to a connected sum of projective planes"Compositio Math.. (To appear). (2004)
[Publications] H.Masaoka, S.Shigeo: "Harmonic functions on finitely sheeted unlimited covering surfaces"J.Math.Soc.Japan. 55. 323-334 (2003)
[Publications] N.Jin, H.Masaoka: "Kuramochi boundary and harmonic functions with finite Dirichlet integrals on unlimited covering surfaces"Osaka J.Math. (To appear). (2004)
[Publications] 田島慎一: "確定特異点型ホロノミック系の零次元代数的局所コホモロジー解"京都大学数理解析研究所講究録. 1336. 121-132 (2003)
[Publications] S.Tajima: "Inhomogeneous ordinary differential equations, local cohomologies and residues"Finite and Infinite Dimensional Complex Analysis and Applications, eds by Le Hung Son, W. Tutschke and C.C. Yang, Kluwer Acad.Publ.. 361-370 (2003)
[Publications] 田島慎一: "零次元イデアルのネター作用素について"京都大学数理解析研究所講究録. (To appear).
[Publications] S.Tajima, Y.Nakamura: "Algebraic local cohomology classes attached to quasi-homogeneous isolated singularities"Publ.RIMS.Kyoto Univ.. (To appear). (2004)
[Publications] S.Tajima, Y.Nakamura: "On the dual space of the Tjurina algebra attached to a semi-quasi homogeneous isolated singularities"Banach Center Publications. (To appear).
[Publications] Y.Nakamura, S.Tajima: "Unimodal singularities and differential operators"Seminaires et Congres, Societes Mathematiques de France. (To appear).
[Publications] S.Tajima, Y.Nakamura: "Computational aspects of Grothendieck local residues"Seminaires et Congres, Societes Mathematiques de France. (To appear).
[Publications] 田島慎一, 中村弥生: "零次元代数的局所コホモロジー類に付随するホロノミック系の構成アルゴリズム"京都大学数理解析研究所講究録. (To appear).
[Publications] 田島慎一, 中村弥生: "Hermite-Jacobi 再生核の計算代数解析"京都大学数理解析研究所講究録. (To appear).
[Publications] T.Mabuchi: "Multiplier Hermitian structureson Kahier manifolds"Nagoya Math.J.. 170. 1-43 (2003)
[Publications] T.Mabuchi: "An obstruction to asymptotic semistability, approximate critical metrics"Osaka J.Math.. (To appear). (2004)
[Publications] 野口潤次郎: "多変数ネヴァンリンナ理論とディオファントス近似(Nevanlinna Theory in Several Varaibeles and Diophantine Approximation)"共立出版. viii+264 (2003)
[Publications] 中村哲男, 今井秀雄, 清水悟: "基礎微分積分学I-1変数の微積分"共立出版. 138 (2003)
[Publications] 中村哲男, 今井秀雄, 清水悟: "基礎微分積分学II-多変数の微積分"共立出版. 82 (2003)
[Publications] 安達謙三: "多変数複素関数論"開成出版. 295 (2003)
[Publications] 下村俊: "Nevanlinnna理論の微分方程式への応用"Rokko Lectures in Mathematics 14, 神戸大学理学部数学教室. 89 (2003)

2003 Fiscal Year Annual Research Report

複素解析構造の総合的研究

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] Noguchi, J., Winkelmann, J.: "A note on jets of entire curves in semi-abelian varieties"Math.Z.. 244. 705-710 (2003)

[Publications] J.Noguchi: "An arithmetic property of Shirosaki's hyperbolic projective hypersurface, Bounds for curves in abelian varieties"Forum Math.. 15. 935-941 (2003)

[Publications] Noguchi, J., Winkelmann, J.: "Bounds for curves in abelian varieties"J.reine angew.Math. (To appear).

[Publications] J.Noguchi: "Intersection multiplicities of holomorphic and algebraic curves with divisors, to appear in Proc."OKA 100 Conference Kyoto/Nara 2001. (To appear).

[Publications] T.Nomura: "Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains"J.Funct.Anal.. 198. 229-267 (2003)

[Publications] A.Kodama, S.Shimizu: "A characterization of (C^k×C^*)^1 from the viewpoint of biholomorphic automorphism groups"J.Korean Math.Soc.. 40. 563-575 (2003)

[Publications] A.Kodama, S.Shimizu: "A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space"Osaka J.Math.. 41. 1-11 (2004)

[Publications] H.Shiga: "On holomorphic mappings of complex manifolds with ball model"J.Math.Soc.Japan. (To appear).

[Publications] H.Shiga: "Dirichlet solutions on bordered Riemann surfaces and quasiconformal mappings"J.D'Analyse Math.. (To appear).

[Publications] Fujikawa, E., H.Shiga, M.Taniguchi: "On the action of the mapping class group for Riemann surfaces of infinite type"J.Math.Soc.Japan. (To appear).

[Publications] H.Shiga: "On a distance defined by the length spectrum on Teichmuller space"Ann.Acad.Sci.Fenn.. 28. 315-326 (2003)

[Publications] Ishizaki K., I.Laine, S.Shimomura, K.Tohge: "Riccati differential equations with elliptic coefficients II"Tohoku Math.J.. 55. 99-108 (2003)

[Publications] Ishizaki, K., N.Yanagihara: "Wiman--Valiron method for difference equations"Nagoya Math.J.. (To appear).

[Publications] H.Aikawa, T.Lundh, T.Mizutani: "Martin boundary of a fractal domain"Potential Anal.. 18. 311-357 (2003)

[Publications] 相川弘明: "複雑領域のMartin境界と境界Hamack原理"数学. 55. 1-19 (2003)

[Publications] H.Aikawa: "Positive harmonic functions of finite order in a {D}enjoy type domain"Proc.Amer.Math.Soc.. 131. 3873-3881 (2003)

[Publications] H.Aikawa: "Martin boundary and boundary harnack principle for non-smooth domains"Sugaku Expositions. (To appear).

[Publications] H.Aikawa: "Potential theoretic characterizations of nonsmooth domains"Bull.London Math.Soc.. (To appear).

[Publications] Y Mizuta, T.Shimomura: "On semi-fine limits at infinity for BLD and monotone BLD functions"Potential Analysis. 19. 365-381 (2003)

[Publications] T.Futamura, Y.Mizuta: "Lindelof theorems for monotone Sobolev functions"Acad.Sci.Fenn.Ser.A.I.Math.. 28. 271-277 (2003)

[Publications] Y.Mizuta, T.Shimomura: "Growth properties for modified Poisson integrals in a half space"Pacific Math.J.. 212. 333-346 (2003)

[Publications] M.Kato, M.Noumi: "Monodromy groups of hypergeometric functions satisfying algebraic equations"Tohoku Math.J.. 55. 189-205 (2003)

[Publications] M.Kato: "A Schwarz map of Appell's F_2 with projectivemonodromy group of order 25920"Kyushu J.Math.. 57. 117-127 (2003)

[Publications] M.Kato: "Differential equations for invariant curves under Klein's simple group of order 168"Kyushu J.Math.. (To appear).

[Publications] Y.Matsugu, J.Miyazawa: "A characterization of weighted Bergman- Orlicz spaces on the unit ball of Cn"J.Austral.Math.Soc.. 74. 5-17 (2003)

[Publications] Y.Matsugu, S.Ueki: "Algebra homomorphisms on the Privalov spaces in the unit ball Bn"Far East J.Math.Sci.. 11. 1-17 (2003)

[Publications] Hideaki KAZAMA, Kyungnam KIM: "Diophantine Approximations and Kodaira's Lemma"Kyushu Journal of Mathematics. (To appear). (2004)

[Publications] T.Matsushima: "Bounded holomorphic functions and maps with some boundary behavior"Journal of Mathematical Analysis and Applications. 285. 691-707 (2003)

[Publications] T.Matsushima: "Bounded holomorphic function with some boundary behavior"Progress in Analysis. 1. 193-197 (2003)

[Publications] K.Yamanoi: "Algebro-geometric version of Nevanlinna's lemma on logarithmic derivative and applications"Nagoya Math.J.. (To appear). (2004)

[Publications] K.Yamanoi: "On Nevanlinna theory for holomorphic curves in Abelian varieties"Proceedings of the Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables, Kyoto/Nara 2001. (To appear).

[Publications] K.Yamanoi: "Holomorphic curves in abelian varieties and intersection with higher codimensional subvarieties"Forum Math.. (To appear).

[Publications] K.Yamanoi: "Defect relations for rational functions as targets"Forum Math.. (To appear).

[Publications] K.Yamanoi: "The second main theorem for small functions and related problems"Acta Math.. (To appear).

[Publications] T.Okuma: "On-(P・P) -constant deformations of Gorenstein surface singularities"Comment.Math.Helv.. (To appear). (2004)

[Publications] Y.Abe: "Construction of automorphic forms for amplefactors of quasi-abelian varieties"Kyushu J.Math.. 57. 51-85 (2003)

[Publications] Y.Abe, P.Zappa: "Universal functions on Stein manifolds"J.Math.Soc.Japan. 56(To appear). (2004)

[Publications] K.-I.Yoshikawa: "K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space"Invent.Math.. (To appear). (2004)

[Publications] K.-I.Yoshikawa: "Nikulin's K3 surfaces, adiabatic limit of equivariant analytic torsion, and the Borcherds Phi-function"Adv.Studies Pure Math.. (To appear).

[Publications] A.Yamada Yoshikawa, K.-I.Yoshikawa: "Isolated critical points and adiabatic limits of Chern forms"Seminaires et Congres (Soc.Math.France). (To appear).

[Publications] K.-I.Yoshikawa: "Analytic torsion and automorphic forms on the moduli space"Sugaku Exp.. (To appear).

[Publications] Kenzo Adachi: "L^p extensions of holomorphic function from submanifolds to strictly psudoconvex domains with non-smooth boundary"Nagoya Math.J.. 172. 103-110 (2003)

[Publications] Kenzo Adachi: "Integral formula and its applications to the d-bar problem and the extension problem"Proceedings of the 3rd International ISAAC Congress. 1. 437-444 (2003)

[Publications] Takao Akahori: "Homogeneous polynomial hypersurface isolated singularities"J.Korean Math.Soc.. 667-680 (2003)

[Publications] 小林 正史: "小林計量による凸領域の特徴付けについて"数理解析研究所講究録. 1314. 55-62 (2003)

[Publications] J.Yueping, S.Kamiya, J.Parker: "Jorgensen's inequality for complex hyperbolic space"Geometriae Dedicata. 97. 55-80 (2003)

[Publications] S.Kamiya: "Generalized isometric spheres and fundamental domains for discrete subgroups of PU(1,n;C)"Proc.Japan Acad.. 79. 105-109 (2003)

[Publications] Hisako Watanabe: "Estimates of the Besov norms on the fractal boundary and applications"J.Math.Soc.Japan. 55. 565-589 (2003)

[Publications] S.Shimomura: "Growth of the first, the second and the fourth Painleve transcendents"Math.Proc.Camb.Phil.Soc.. 134. 259-269 (2003)

[Publications] S.Shimomura: "Meromorphic solutions of Painleve differential equations"Complex Differential and Functional Equations, Mekrijarvi 2000, ed. by I. Laine, University of Joensuu, Department of Mathematics, Report Series. 5. 107-124 (2003)

[Publications] S.Shimomura: "Lower estimates for the growth of Painleve transcendents"46. 287-295 (2003)

[Publications] S.Shimomura: "Proofs of the Painleve property for all Painleve equations"Japan.J.Math.. 29. 159-180 (2003)

[Publications] S.Shimomura: "Poles and α-points of meromorphic solutions of the first Painleve hierarchy"Publ.Res.Inst.Math.Sci.. (To appear). (2004)

[Publications] S.Shimomura: "Lower estimates for the growth of the fourth and the Painleve transcendents"Proc.Edinburgh Math.Soc.. (To appear).

[Publications] H.Fujimoto: "On uniqueness polynomials for meromorphic functions"Nagoya Mathematical Journal. 170. 33-46 (2003)

[Publications] H.Fujimoto: "Some examples of hyperbolic hypersurfaces in the complex projective space"Journal of the Korean Mathematical Society. 40. 595-607 (2003)

[Publications] 林本厚志: "構造関数とCR同値問題"京都大学数理解析研究所講究録. 1314. 80-89 (2003)

[Publications] Atsushi Hayashimoto, Sung-Yeon Kim, Dmitri Zaitsev: "Decomposition of CR-Manifolds and Splitting of CR-Mappings"Ann.Scoula Norm.Sup.Pisa.. Serie V Vol II. 433-448 (2003)

[Publications] G.G.Gundersen, K.Tohge: "Unique range sets for polynomials or rational functions"Progress in Analysis, Proceedings of the 3rd ISAAC Congress. 1. 235-246 (2003)

[Publications] G.G.Gundersen, K.Tohge: "Entire and meromorphic solutions of f^5+g^5+h^5=1"Univ.Joensuu Dept.Math.Report series. (To appear). (2004)

[Publications] 木村秀幸, 栗林泉: "Period matrix of a hyperelliptic Riemann surface of genus 3"愛知産業大学紀要. 11. 87-92 (2003)

[Publications] H.Kimura: "Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4"Journal of Algebra. 264. 26-54 (2003)

[Publications] 木村秀幸, 栗林泉: "自己同型群を持つRiemann面のFuchs群について"京都大学数理解析研究所講究録. 1329. 36-47 (2003)

[Publications] C.H.Chu, T.Honda: "A Schwarz lemma for bounded symmetric domains in Hilbert spaces"the Mathematical Proceedings of the Royal Irish Academy. 103A-1. 45-53 (2003)

[Publications] T.Honda: "Holomorphic mappings into some domain in a complex normed space"J.Korean Math.Soc.. 41-1. 145-156 (2004)

[Publications] M.Aoyagi, S.Watanabe: "[チュートリアル講演]Resolution of singularities and its application to learning theory"Technical report of IEICE, NC2003-26. 26. 25-30 (2003)

[Publications] M.Aoyagi: "Artin component and Weyl group for dihedral singularity"数理解析研究所講究録、多変数関数論の萌芽的研究. 1314. 11-27 (2003)

[Publications] M.Morimoto, K.Fujita: "Analytic functions and analytic functionals on some balls"Proceedings of the Third ISAAC Congress Kluwer Academic Publishers. 150-159 (2003)

[Publications] K.Fujita: "Harmonic Bergman kernel for some balls"Universitatis Iagellonicae Acta Mathematica. (To appear). (2003)

[Publications] K.Fujita: "Bergman kernel for the Two-dimensional balls"Complex Variable. (To appear).

[Publications] 藤田景子: "複素球状領域のBergman核"京都大学数理解析研究所講究録. (To appear).

[Publications] Y.Aihara: "Algebraic dependence of meromorphic mappings in value distribution theory"Nagoya Math.J.. 269. 145-178 (2003)

[Publications] Y.Aihara: "Uniqueness problem of meromorphic mappings on analytic covering spaces"Progress in Analysis (eds. H Begehr et al.), World Scientific. 1. 278-286 (2003)

[Publications] H.Hamada, G.Kohr: "Loewner chains and quasiconformal extension of holomorphic mappings"Ann.Polon.Math.. 81. 85-100 (2003)

[Publications] H.Hamada, G.Kohr: "Simple criterions for strongly starlikeness and starlikeness of certain order"Math.Nachr.. 254・255. 165-171 (2003)

野口潤次郎東京大学, 大学院・数理科学研究科, 教授 (20033920)

[Publications] 小林正史: "小林計量による凸領域の特徴付けについて"数理解析研究所講究録. 1314. 55-62 (2003)