2001 年度実績報告書

複素解析構造の総合的研究

研究課題

研究課題/領域番号	13304009
研究機関	東京大学
研究代表者	野口潤次郎東京大学, 大学院・数理科学研究科, 教授 (20033920)
研究分担者	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)
キーワード	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
研究概要	本年度は,当該研究の初年度として内外の最新の研究成果・動向の情報を得るために,京都大学数理解析研究所および奈良女子大学において,岡潔生誕百年記念多変数複素解析国際会議京都/奈良 2001,2001年10月30日-11月5日京都/11月6日-7日奈良,を開催した.海外9カ国からの登録参加者35名を含む登録参加者125名の参加をえて成功裏に修了した.この国際会議において,研究分担者,研究協力者らは海外の研究者らと研究交流を行い,これからの研究課題に関する知見を深めた.議事録は,日本数学会出版物A.S.P.M.シリーズから出版の予定である. 正則写像の値分布と代数多様体の有理点分布について研究した.従来より懸案のアーベル多様体内の正則曲線に対する第2主要定理をより一般的な準アーベル多様体の場合に完全な型で証明した.その応用として、アーベル多様体の分岐被覆空間が双曲的になる十分条件を与え、新しい双曲的複素空間を構成した。代数関数体上のNevanlinna-Cartan理論について個数関数の打ち切り位数について新しい結果を得た。さらに,この手法を有理点分布に応用した.欠除指数のある有理型写像,次数の低い双曲的射影超局面の構成が行われた. L^2拡張定理,正閉カレントの拡張が研究され代数幾何への応用が成された.無限次元複素解析について進展があった.クライン群,複素力学系について新しい結果が得られた.CR-構造,特異点の研究に新たな手法の開発が行われた.擬凸領域の境界問題についてCR-構造との関連で新しい事実が判明した. 複素関数空間,調和解析の分野での研究が進み,境界正則関数の拡張問題に進展をみた.

研究成果
(90件)

すべてその他

すべて文献書誌 (90件)

[文献書誌] Saitoh, S., Vu Kim Tuan, Yamamoto, M.: "Conditional Stability of a Real Inverse Formula for the Laplace transform"Zeitschrift fuer Analysis and ihre Anwendungen. 20. 193-202 (2001)
[文献書誌] Asaduzzaman, M., Saitoh, S.: "Inversion Formulas for the Reznitskaya Transform and Stability of Liptschitz Type in Determination of Initial Heat Distribution"Applicable Analysis. 77. 343-350 (2001)
[文献書誌] Saitoh, S.: "Applications of the reproducing kernel theory to inverse problems"Comm. Korean Math. Soc.. 16. 371-383 (2001)
[文献書誌] Saitoh, S.: "Principle of Telethoscope"Functional-Analytic and Complex Methods, their Interractions, and Applications to Partial Differential Equations, World Scientific. 101-117 (2001)
[文献書誌] Saitoh, S., Mori, M.: "Representations of Analytic Functions in Terms of Local Values by Means of the Ricmann Mapping Functions"Complex Variables. 45. 387-393 (2001)
[文献書誌] Amano, K., Asaduzzaman, M., Ouura, T., Saitoh, S.: "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. 15-26 (2001)
[文献書誌] Saitoh, S.: "Analytic extension formulas, integral transforms and reproducing kernels, Analytic Extension"Formulas and their Applications, Kluwer Academic Publishers. 207-232 (2001)
[文献書誌] Fujita, K.: "Entire eigenfunctions of the Laplacian of exponential type with respect to the Lie norm and the dual Lie norm"Acta Matematica Vietnamica. 26. 81-94 (2001)
[文献書誌] Morimoto, M., Fujita, K.: "Between Lie norm and dual Lie norm"Tokyo J. Math.. 24(in press). (2001)
[文献書誌] Keiko Fujita: "Double series expansions and their convergence domains"the proceedings of the third Asian Mathematical Conference, World Scientific. (in press). (2001)
[文献書誌] Takayama, S.: "Very ample line bundles on quasi-abelian varietics"Math. Z.. 236. 191-200 (2001)
[文献書誌] Takayama, S.: "On the fundamental groups associated to contractions of extremal rays"J. Alg. Geom.. 10. 713-724 (2001)
[文献書誌] Wakabayashi, I.: "On families of cubic Thue equations"Proc. Analytic Number Theory. Beijing, Kyoto. 1999, C. H. Jia and K. Matsumoto. Eds. Kluwer Acad. Publ.. (in press). (2002)
[文献書誌] Sumi, H.: "Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products"Ergodie theory and dynamical systems. 21. 563-603 (2001)
[文献書誌] Ishii, S., Tomari, M.: "Hypersurface non-rational singularities which look canonical from their Newton boundaries"Mathematische Zeitschrift. 237. 125-147 (2001)
[文献書誌] Tomari, M., Watanabe, K.-i.: "Cyclic covers of normal graded rings"Kodai Math. J.. 24. 436-457 (2001)
[文献書誌] Tomari, M.: "Multiplicity of filtered rings and simple K3 singularities of multiplicity two"Publ. RIMS Kyoto Univ.. (in press). (2002)
[文献書誌] Nakai, M., Tada, T.: "Harmonic Liouville theorem for exterior domains"J. Math. Analy. Appli.. 253. 269-273 (2001)
[文献書誌] 中井三留, 多田俊政: "超等角的ロイデン完閉化の一性質"大同工業大学紀要. 37(印刷中). (2001)
[文献書誌] Izumi, S.: "Flatness of differentiable functions along a subset of a real analytic set"Journal d' Analyse Mathematique. (in press). (2002)
[文献書誌] Izumi, S., Koike, S., Kno, T.-C.: "Computations and stability of the Fukui invariant"Compositio Mathematica. (in press). (2002)
[文献書誌] Suzuki, N., Watson, N.A.: "A characterzation of heat balls by a mean value property for temperatures"Proc. Amer. Math. Soc.. 129. 2709-2713 (2001)
[文献書誌] Kasuga, K.: "There are no codimension 1 linear isometries on the ball and polydisk algebras"Scientiae Mathematicae Japonicae. 54. 387-390 (2001)
[文献書誌] Kasuga, K.: "Examples of compact Toeplitz operators on the Bergman space"Hokkaido Mathematical Journal. 30. 697-703 (2001)
[文献書誌] Morosawa, S., Taniguchi, M.: "Non-trivial deformation of an cutire function abz + c^<b2> + c"Taiwan J. math.. 5. 641-646 (2001)
[文献書誌] Taniguchi, M.: "Explicit representation of structurally finite entire functions"Proc. Japan Acad.. 77(Ser. A). 68-70 (2001)
[文献書誌] Matsusgn, Y., Miyazawa, J.: "A characterization of weighted Bergman-Orlicz spaces on the unit ball in C^n"J. Austral. Math. J.. (in press). (2002)
[文献書誌] Matsugu, Y., Ueki, S.: "Isometries of weighted Bergman-Privalov spaces on the unit ball of C^n"J. Math. Soc. Japan. (in press). (2002)
[文献書誌] Kamiya, S.: "Notes on discrete subgroups of PU(1, 2 ; C) with Heisenberg translations III"数理解析研究所講究録「双曲空間及び離散群の研究」. 1223. 56-60 (2001)
[文献書誌] Jiang, Y., Kamiya, S., Parker, J.: "Jorgensen's inequality for complex hyperbolic space"Geometricae Ddicata. (in press). (2002)
[文献書誌] Kamiya, S., Parker, J.: "Remarks on discrete subgroups of PU(1, 2 ; C) with Heisenberg translations"Proceedings of the Fifth Conference of Real and Complex Analysis. (in press). (2002)
[文献書誌] Shinohara, T.: "Dynamics of polynomial maps on C^2 whose all unbounded orbits converge to one point"Kodai Mathematical Journal. (in press). (2002)
[文献書誌] Matsushima, T.: "Bounded holomorphic function with some boundary behavior in the unit ball of C^n"Kodai Mathematical Journal. 24. 305-312 (2001)
[文献書誌] Matsushima, T.: "Bounded holomorphic function in the unit ball of C^n"Finite or Infinite Dimensional Complex Analysis. 156-157 (2001)
[文献書誌] Okuma, T.: "A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model"Proc. Amer. Math. Soc.. 129. 2823-2831 (2001)
[文献書誌] Okuma, T.: "Simultaneous good resolutions of deformations of Gorenstein surface singularities"Internat. J. Math.. 12. 49-61 (2001)
[文献書誌] Abe, Y.: "Meromorphic reduction of complex Lie groups"Kyushu J. Math.. 55. 207-211 (2001)
[文献書誌] Partyka, D., Sakan, K.: "On pseudo-metries on the space of generalized quasisymmetric automorphisms of a Jordan curve"Ann. Univ. Mariac Curie-Sklodowska Sect. A.. 55. 115-138 (2001)
[文献書誌] Partyka, D., Sakan, K.: "On Heinz's inequality"Bull. Soc. Sci. Lettres Lodz. (in press). (2002)
[文献書誌] Partyka, D., Sakan, K.: "On pseudo-metrics on the space of generalized quasisymmetric automorphisms of a Jordan curve"Ann. Univ. Mariae Curie-Sklodowska Sect. A.. 55. 115-138 (2001)
[文献書誌] Partyka, D., Sakan, K.: "On Heinz's inequality"Bull. Soc. Sci. Lettres Lodz. (in press). (2002)
[文献書誌] Kato, T.: "A characterization of the Fermat curve"Nonlinear Analysis. 47. 5479-5489 (2001)
[文献書誌] Kato, T., Yamada, M.: "Projective systems whose supports consist of the union of three linear subspaces"Bull. Korean Math. Soc.. 38. 689-699 (2001)
[文献書誌] Makoto Masumoto: "Extremal lengths of homology classes on compact Riemann surfaces"Nonlinear Anal.. 47. 5491-5500 (2001)
[文献書誌] Nakai, M., Tada, T.: "Harmonic Liouville theorem for exterior domains"Journal of Mathematical Analysis and Applications. 253. 269-273 (2001)
[文献書誌] Yoshikawa, K.-I.: "Analytic torsion and automorphic forms on the moduli space"Sugaku Exp.. (in press). (2002)
[文献書誌] Takeuchi, S.: "Categorical images of CR morphisms"岐阜大教研報(自). 25-2. 1-5 (2001)
[文献書誌] Villalon, J., Iwai, H., Takeuchi, S.: "Teachers' Perception towards Cooperative Learning"Annual Report of the Faculty of Education, Gifu University, (Education Research). 2. 45-52 (2000)
[文献書誌] Takeuchi, S.: "Category of DR Lie algebras"岐阜大教研報(自). 24-2. 45-52 (2000)
[文献書誌] Takeuchi, S.: "Category of DR spaces"岐阜大教研報(自). 24-1. 7-12 (1999)
[文献書誌] Takeuchi, S.: "Some remarks on the category of C/DR spaces"岐阜大教研報(自). 23-2. 15-20 (1999)
[文献書誌] Honda, T.: "The Growth Theorem and Schwarz Lemma on Infinite Dimensional Domains"Mathematische Nachrichten. 233-234. 129-139 (2002)
[文献書誌] Honda, T.: "The growth theorem for k-fold symmetric convex mappings"Bulletin of the London Mathematical Society. (in press). (2002)
[文献書誌] Chu, C.H., Honda, T.: "A Schwarz lemma for bounded symmetric domains in Hilbert spaces"the Mathematical Proceedings of the Royal Irish Academy. (in press). (2002)
[文献書誌] Yusuke Okuyama: "Non-linearizability of n-subhyperbolic polynomials at irrationally indifferent fixed points"J. Math. Soc. Japan. 53. 847-874 (2001)
[文献書誌] Shiga, H.: "On holomorphic families of rational maps : Finiteness, Rigidity and Stability"Kodai Math. J.. 24. 48-65 (2001)
[文献書誌] Kurokawa, T.: "On the closure of the Lizorkin space in spaces of Beppo Levi type"Studia Math.. (in press). (2002)
[文献書誌] Cegrell, U., Yamaguchi, H.: "Construction of equilibrium magnetic vector potentials"Potential Analysis. 15. 301-331 (2001)
[文献書誌] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., Tohge, K.: "Complex difference equations of Malmquist type"Computational Methods and Function Theory. 1(in press). (2002)
[文献書誌] Mori, S.: "Defects of holomorphic curves into P^n(C) for rational moving targets and a space of meromorphic mappings"Complex Variables. Vol.43. 363-379 (2001)
[文献書誌] Ohsawa, T.: "On the extension of L^2 holomorphic functions V effects of genralization"Nagoya Math. J.. 161. 1-21 (2001)
[文献書誌] Matsumoto, K., Ohasawa, T.: "On the real analytic Levi flat hypersurfaces in complex tori of dimension two"Ann. d'Inst. Fourier. (to appear). (2002)
[文献書誌] Abe, M.: "Steinness of the total space of a non-trivial algebraic affine C-bundle on the punctured complex affine plane"Mathematische Nachrichten. 238(in press). (2002)
[文献書誌] 宮嶋公夫: "強擬凸CR多様体と正規孤立特異点の変形"数学. 53. 172-184 (2001)
[文献書誌] Miyajima, K.: "CR description of the formal deformations of quasi-homogeneous singularities"Selected Topics in Cauchy-Riemann Geometry (Ed. by S. Dragomir). (in press). (2002)
[文献書誌] Miyajima, K.: "Deformation theory of CR structures on a boundary of normal isolated singularities"Proceedings of "Complex Analysis and Related Topics", Japan-Korea Joint Workshop in Mathematics 2001. (in press). (2002)
[文献書誌] Miyajima, K.: "Strongly pseudoconvex CR manifolds and deformation of normal isolated singularities"Sugaku Expositions. (in press). (2002)
[文献書誌] Y. Aihara: "Criteria for algebraic dependence of meromorphic mappings and their applications"Finite or Infinite Dimensional Complex Analysis (eds. L. Yang et al.). Shandong Science and Technology Press. 6-11 (2001)
[文献書誌] Aihara, Y.: "Propagation of algebraic dependence of meromorphic mappings"Taiwanese Math. J.. 5. 667-689 (2001)
[文献書誌] Aihara, Y.: "Geometric conditions for uniqueness problems of meromorphic mappings"RIMS Kokyuuroku. 1236. 98-111 (2001)
[文献書誌] Adachi, K.: "Extending holomorphic functions from subvarietics"Analytic extension formulas and their applications, S. Saitoh et al.(eds.), Kluwer Academic Publishers. 1-14 (2001)
[文献書誌] Fujiki, A.: "Topology of compact self-dual manifolds whose twistor space has positive algebraic dimension"J. Math. Soc. Japan. 54(in press). (2002)
[文献書誌] Noguchi, J., Winkelmann, J., Yamanoi, K.: "The second main theorem for holomorphic curves into semi-abelian varieties"Acta Math.. 188・1(in press). (2002)
[文献書誌] Tsuji, H.: "Deformation invariance of plurigenera"Nagoya Math. J.. (in press). (2002)
[文献書誌] Tsuji, H.: "Singular hermitian metric in algebraic geometry"Lect. Note. Scr.. 5. (2001)
[文献書誌] Hirotaka Fujimoto: "A Family of Hyperbolic Hypersurfaces in the Complex Projective Space"Complex Variables. 43. 273-283 (2001)
[文献書誌] Mabuchi, T.: "Vector field energies and critical metrics on Kahler manifolds"Nagoya Math. J.. 162. 41-63 (2001)
[文献書誌] Mabuchi, T., Nakagawa, Y.: "An obstruction to semistability of manifolds"Proc. Japan Acad.. 77. 47-49 (2001)
[文献書誌] Mabuchi, T.: "A theorem of Calabi-Matsushima's type"Osaka J. Math.. 39. 1-9 (2002)
[文献書誌] Mabuchi, T.: "Heat Kernel estimates and the Green functions on multiplier Hermitian manifolds"Tohoku Math. J.. (in press). (2002)
[文献書誌] Shimomura, K.: "On transformations which preserve poly-temperatures of degree m"Math. J. Ibaraki Univ.. 33(in press). (2001)
[文献書誌] Noguchi, J., Winkelmann, J.: "Holomorphic curves and integral points off divisors"Math. Z.. (in press). (2002)
[文献書誌] Noguchi, J.: "Some results in view of Nevanlinna theory, in Number Theoretic Method - Future Trends"Kluwer Acad. Publ.. (in press). (2002)
[文献書誌] H. Kazama, K. N. Kim: "Nonlinearizability and non-Hausdorff cohomology and neighborhood structure of elliptic curves"Complex Analysis and Related Topics, Proceedings of the Japan-Korea Joint Work shop in Mathematics 2001. 67-74 (2002)
[文献書誌] Abe, Y., Kopfermann, K.: "Toroidal groups"Springer-Verlag. 133 (2001)
[文献書誌] 鈴木紀明: "数学基礎・複素関数"培風館. 198 (2001)
[文献書誌] 堀内利郎, 下村勝孝: "複素解析の基礎"内田老鶴圃. 256 (2001)
[文献書誌] 吉永悦男, 福井敏純, 泉脩藏: "解析関数と特異点"共立出版(出版決定). (2002)
[文献書誌] Yamaguchi, H.: "Function theory in several complex variables"American Math. Society. 366 (2001)
[文献書誌] 荷見守助, 下村勝孝: "線型代数入門"内田老鶴圃(印刷中). (2002)

2001 年度 実績報告書

複素解析構造の総合的研究

研究代表者

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

研究成果

[文献書誌] Saitoh, S., Vu Kim Tuan, Yamamoto, M.: "Conditional Stability of a Real Inverse Formula for the Laplace transform"Zeitschrift fuer Analysis and ihre Anwendungen. 20. 193-202 (2001)

[文献書誌] Asaduzzaman, M., Saitoh, S.: "Inversion Formulas for the Reznitskaya Transform and Stability of Liptschitz Type in Determination of Initial Heat Distribution"Applicable Analysis. 77. 343-350 (2001)

[文献書誌] Saitoh, S.: "Applications of the reproducing kernel theory to inverse problems"Comm. Korean Math. Soc.. 16. 371-383 (2001)

[文献書誌] Saitoh, S.: "Principle of Telethoscope"Functional-Analytic and Complex Methods, their Interractions, and Applications to Partial Differential Equations, World Scientific. 101-117 (2001)

[文献書誌] Saitoh, S., Mori, M.: "Representations of Analytic Functions in Terms of Local Values by Means of the Ricmann Mapping Functions"Complex Variables. 45. 387-393 (2001)

[文献書誌] Amano, K., Asaduzzaman, M., Ouura, T., Saitoh, S.: "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. 15-26 (2001)

[文献書誌] Saitoh, S.: "Analytic extension formulas, integral transforms and reproducing kernels, Analytic Extension"Formulas and their Applications, Kluwer Academic Publishers. 207-232 (2001)

[文献書誌] Fujita, K.: "Entire eigenfunctions of the Laplacian of exponential type with respect to the Lie norm and the dual Lie norm"Acta Matematica Vietnamica. 26. 81-94 (2001)

[文献書誌] Morimoto, M., Fujita, K.: "Between Lie norm and dual Lie norm"Tokyo J. Math.. 24(in press). (2001)

[文献書誌] Keiko Fujita: "Double series expansions and their convergence domains"the proceedings of the third Asian Mathematical Conference, World Scientific. (in press). (2001)

[文献書誌] Takayama, S.: "Very ample line bundles on quasi-abelian varietics"Math. Z.. 236. 191-200 (2001)

[文献書誌] Takayama, S.: "On the fundamental groups associated to contractions of extremal rays"J. Alg. Geom.. 10. 713-724 (2001)

[文献書誌] Wakabayashi, I.: "On families of cubic Thue equations"Proc. Analytic Number Theory. Beijing, Kyoto. 1999, C. H. Jia and K. Matsumoto. Eds. Kluwer Acad. Publ.. (in press). (2002)

[文献書誌] Sumi, H.: "Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products"Ergodie theory and dynamical systems. 21. 563-603 (2001)

[文献書誌] Ishii, S., Tomari, M.: "Hypersurface non-rational singularities which look canonical from their Newton boundaries"Mathematische Zeitschrift. 237. 125-147 (2001)

[文献書誌] Tomari, M., Watanabe, K.-i.: "Cyclic covers of normal graded rings"Kodai Math. J.. 24. 436-457 (2001)

[文献書誌] Tomari, M.: "Multiplicity of filtered rings and simple K3 singularities of multiplicity two"Publ. RIMS Kyoto Univ.. (in press). (2002)

[文献書誌] Nakai, M., Tada, T.: "Harmonic Liouville theorem for exterior domains"J. Math. Analy. Appli.. 253. 269-273 (2001)

[文献書誌] 中井 三留, 多田 俊政: "超等角的ロイデン完閉化の一性質"大同工業大学紀要. 37(印刷中). (2001)

[文献書誌] Izumi, S.: "Flatness of differentiable functions along a subset of a real analytic set"Journal d' Analyse Mathematique. (in press). (2002)

[文献書誌] Izumi, S., Koike, S., Kno, T.-C.: "Computations and stability of the Fukui invariant"Compositio Mathematica. (in press). (2002)

[文献書誌] Suzuki, N., Watson, N.A.: "A characterzation of heat balls by a mean value property for temperatures"Proc. Amer. Math. Soc.. 129. 2709-2713 (2001)

[文献書誌] Kasuga, K.: "There are no codimension 1 linear isometries on the ball and polydisk algebras"Scientiae Mathematicae Japonicae. 54. 387-390 (2001)

[文献書誌] Kasuga, K.: "Examples of compact Toeplitz operators on the Bergman space"Hokkaido Mathematical Journal. 30. 697-703 (2001)

[文献書誌] Morosawa, S., Taniguchi, M.: "Non-trivial deformation of an cutire function abz + c^<b2> + c"Taiwan J. math.. 5. 641-646 (2001)

[文献書誌] Taniguchi, M.: "Explicit representation of structurally finite entire functions"Proc. Japan Acad.. 77(Ser. A). 68-70 (2001)

[文献書誌] Matsusgn, Y., Miyazawa, J.: "A characterization of weighted Bergman-Orlicz spaces on the unit ball in C^n"J. Austral. Math. J.. (in press). (2002)

[文献書誌] Matsugu, Y., Ueki, S.: "Isometries of weighted Bergman-Privalov spaces on the unit ball of C^n"J. Math. Soc. Japan. (in press). (2002)

[文献書誌] Kamiya, S.: "Notes on discrete subgroups of PU(1, 2 ; C) with Heisenberg translations III"数理解析研究所講究録「双曲空間及び離散群の研究」. 1223. 56-60 (2001)

[文献書誌] Jiang, Y., Kamiya, S., Parker, J.: "Jorgensen's inequality for complex hyperbolic space"Geometricae Ddicata. (in press). (2002)

[文献書誌] Kamiya, S., Parker, J.: "Remarks on discrete subgroups of PU(1, 2 ; C) with Heisenberg translations"Proceedings of the Fifth Conference of Real and Complex Analysis. (in press). (2002)

[文献書誌] Shinohara, T.: "Dynamics of polynomial maps on C^2 whose all unbounded orbits converge to one point"Kodai Mathematical Journal. (in press). (2002)

[文献書誌] Matsushima, T.: "Bounded holomorphic function with some boundary behavior in the unit ball of C^n"Kodai Mathematical Journal. 24. 305-312 (2001)

[文献書誌] Matsushima, T.: "Bounded holomorphic function in the unit ball of C^n"Finite or Infinite Dimensional Complex Analysis. 156-157 (2001)

[文献書誌] Okuma, T.: "A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model"Proc. Amer. Math. Soc.. 129. 2823-2831 (2001)

[文献書誌] Okuma, T.: "Simultaneous good resolutions of deformations of Gorenstein surface singularities"Internat. J. Math.. 12. 49-61 (2001)

[文献書誌] Abe, Y.: "Meromorphic reduction of complex Lie groups"Kyushu J. Math.. 55. 207-211 (2001)

[文献書誌] Partyka, D., Sakan, K.: "On pseudo-metries on the space of generalized quasisymmetric automorphisms of a Jordan curve"Ann. Univ. Mariac Curie-Sklodowska Sect. A.. 55. 115-138 (2001)

[文献書誌] Partyka, D., Sakan, K.: "On Heinz's inequality"Bull. Soc. Sci. Lettres Lodz. (in press). (2002)

[文献書誌] Partyka, D., Sakan, K.: "On pseudo-metrics on the space of generalized quasisymmetric automorphisms of a Jordan curve"Ann. Univ. Mariae Curie-Sklodowska Sect. A.. 55. 115-138 (2001)

[文献書誌] Partyka, D., Sakan, K.: "On Heinz's inequality"Bull. Soc. Sci. Lettres Lodz. (in press). (2002)

[文献書誌] Kato, T.: "A characterization of the Fermat curve"Nonlinear Analysis. 47. 5479-5489 (2001)

[文献書誌] Kato, T., Yamada, M.: "Projective systems whose supports consist of the union of three linear subspaces"Bull. Korean Math. Soc.. 38. 689-699 (2001)

[文献書誌] Makoto Masumoto: "Extremal lengths of homology classes on compact Riemann surfaces"Nonlinear Anal.. 47. 5491-5500 (2001)

[文献書誌] Nakai, M., Tada, T.: "Harmonic Liouville theorem for exterior domains"Journal of Mathematical Analysis and Applications. 253. 269-273 (2001)

[文献書誌] Yoshikawa, K.-I.: "Analytic torsion and automorphic forms on the moduli space"Sugaku Exp.. (in press). (2002)

[文献書誌] Takeuchi, S.: "Categorical images of CR morphisms"岐阜大教研報(自). 25-2. 1-5 (2001)

[文献書誌] Villalon, J., Iwai, H., Takeuchi, S.: "Teachers' Perception towards Cooperative Learning"Annual Report of the Faculty of Education, Gifu University, (Education Research). 2. 45-52 (2000)

[文献書誌] Takeuchi, S.: "Category of DR Lie algebras"岐阜大教研報(自). 24-2. 45-52 (2000)

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

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

[文献書誌] Honda, T.: "The Growth Theorem and Schwarz Lemma on Infinite Dimensional Domains"Mathematische Nachrichten. 233-234. 129-139 (2002)

[文献書誌] Honda, T.: "The growth theorem for k-fold symmetric convex mappings"Bulletin of the London Mathematical Society. (in press). (2002)

[文献書誌] Chu, C.H., Honda, T.: "A Schwarz lemma for bounded symmetric domains in Hilbert spaces"the Mathematical Proceedings of the Royal Irish Academy. (in press). (2002)

[文献書誌] Yusuke Okuyama: "Non-linearizability of n-subhyperbolic polynomials at irrationally indifferent fixed points"J. Math. Soc. Japan. 53. 847-874 (2001)

[文献書誌] Shiga, H.: "On holomorphic families of rational maps : Finiteness, Rigidity and Stability"Kodai Math. J.. 24. 48-65 (2001)

[文献書誌] Kurokawa, T.: "On the closure of the Lizorkin space in spaces of Beppo Levi type"Studia Math.. (in press). (2002)

[文献書誌] Cegrell, U., Yamaguchi, H.: "Construction of equilibrium magnetic vector potentials"Potential Analysis. 15. 301-331 (2001)

[文献書誌] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., Tohge, K.: "Complex difference equations of Malmquist type"Computational Methods and Function Theory. 1(in press). (2002)

[文献書誌] Mori, S.: "Defects of holomorphic curves into P^n(C) for rational moving targets and a space of meromorphic mappings"Complex Variables. Vol.43. 363-379 (2001)

[文献書誌] Ohsawa, T.: "On the extension of L^2 holomorphic functions V effects of genralization"Nagoya Math. J.. 161. 1-21 (2001)

[文献書誌] Matsumoto, K., Ohasawa, T.: "On the real analytic Levi flat hypersurfaces in complex tori of dimension two"Ann. d'Inst. Fourier. (to appear). (2002)

[文献書誌] Abe, M.: "Steinness of the total space of a non-trivial algebraic affine C-bundle on the punctured complex affine plane"Mathematische Nachrichten. 238(in press). (2002)

[文献書誌] 宮嶋 公夫: "強擬凸CR多様体と正規孤立特異点の変形"数学. 53. 172-184 (2001)

[文献書誌] Miyajima, K.: "CR description of the formal deformations of quasi-homogeneous singularities"Selected Topics in Cauchy-Riemann Geometry (Ed. by S. Dragomir). (in press). (2002)

[文献書誌] Miyajima, K.: "Deformation theory of CR structures on a boundary of normal isolated singularities"Proceedings of "Complex Analysis and Related Topics", Japan-Korea Joint Workshop in Mathematics 2001. (in press). (2002)

[文献書誌] Miyajima, K.: "Strongly pseudoconvex CR manifolds and deformation of normal isolated singularities"Sugaku Expositions. (in press). (2002)

[文献書誌] Y. Aihara: "Criteria for algebraic dependence of meromorphic mappings and their applications"Finite or Infinite Dimensional Complex Analysis (eds. L. Yang et al.). Shandong Science and Technology Press. 6-11 (2001)

[文献書誌] Aihara, Y.: "Propagation of algebraic dependence of meromorphic mappings"Taiwanese Math. J.. 5. 667-689 (2001)

[文献書誌] Aihara, Y.: "Geometric conditions for uniqueness problems of meromorphic mappings"RIMS Kokyuuroku. 1236. 98-111 (2001)

[文献書誌] Adachi, K.: "Extending holomorphic functions from subvarietics"Analytic extension formulas and their applications, S. Saitoh et al.(eds.), Kluwer Academic Publishers. 1-14 (2001)

[文献書誌] Fujiki, A.: "Topology of compact self-dual manifolds whose twistor space has positive algebraic dimension"J. Math. Soc. Japan. 54(in press). (2002)

[文献書誌] Noguchi, J., Winkelmann, J., Yamanoi, K.: "The second main theorem for holomorphic curves into semi-abelian varieties"Acta Math.. 188・1(in press). (2002)

[文献書誌] Tsuji, H.: "Deformation invariance of plurigenera"Nagoya Math. J.. (in press). (2002)

[文献書誌] Tsuji, H.: "Singular hermitian metric in algebraic geometry"Lect. Note. Scr.. 5. (2001)

2001 年度実績報告書

野口潤次郎東京大学, 大学院・数理科学研究科, 教授 (20033920)

[文献書誌] 中井三留, 多田俊政: "超等角的ロイデン完閉化の一性質"大同工業大学紀要. 37(印刷中). (2001)

[文献書誌] 宮嶋公夫: "強擬凸CR多様体と正規孤立特異点の変形"数学. 53. 172-184 (2001)

[文献書誌] 鈴木紀明: "数学基礎・複素関数"培風館. 198 (2001)

[文献書誌] 堀内利郎, 下村勝孝: "複素解析の基礎"内田老鶴圃. 256 (2001)

[文献書誌] 吉永悦男, 福井敏純, 泉脩藏: "解析関数と特異点"共立出版(出版決定). (2002)

[文献書誌] 荷見守助, 下村勝孝: "線型代数入門"内田老鶴圃(印刷中). (2002)