大沢健夫先生の論文・著作等リスト

作成開始日: 2020/06/28
最終更新日: 2024/03/17

大沢健夫先生の論文・著作等リストです.論文については私が知る範囲(~2008年頃)までとなります.


寄稿記事


論説


論文(2008年頃まで)

  1. A counter example of ampleness of positive line bundles, Proc. Japan Acad. Ser. A Math. Sci. Volume 55, Number 5 (1979), 193-194.
  2. Finiteness theorems on weakly 1-complete manifolds, Publ. RIMS, Kyoto Univ. 15 (1979), 853-870.
  3. On complete Kähler domains with $C^1$-boundary, Publ. RIMS, Kyoto Univ. 16 (1980), 929-940.
  4. Analyticity of complements of complete Kähler domains, Proc. Japan Acad. Ser. A Math. Sci. Volume 56, Number 10 (1980), 484-487.
  5. On $H^{p,q}(X,B)$ of weakly 1-complete manifolds, Publ. RIMS, Kyoto Univ. 17 (1981), 113-126.
  6. Weakly 1-complete manifold and Levi rroblem, Publ. RIMS, Kyoto Univ. 17 (1981), 153-164.
  7. A remark on the completeness of the Bergman metric, Proc. Japan Acad. Ser. A Math. Sci. Volume 57, Number 4 (1981), 238-240.
  8. A reduction theorem for cohomology groups of very strongly q-convex Kähler manifolds, Invent. Math. 63 (1981), 335-354.
  9. A vanishing theorem for $H^p(X,\Omega^q(B))$ on weakly 1-complete manifolds, Publ. RIMS, Kyoto Univ. 17 (1981), 723-733. (K. Takegoshi との共著)
  10. Supplement to 'Weakly 1-complete manifold and Levi problem', Publ. RIMS, Kyoto Univ. 17 (1981), 981-982.
  11. On analytic families of submanifolds and holomorphical convexity of neighbourhoods of $\mathbb{P}^1$, J. Math. Soc. Japan Volume 33, Number 4 (1981), 711-731.
  12. Addendum to: A reduction theorem for cohomology groups of very strongly q-convex Kähler manifolds, Invent. Math. 66 (1982), 391-393.
  13. A Levi problem on two-dimensional complex manifolds, Math. Ann. 261 (1982), 255-261. (K. Diederich との共著)
  14. Isomorphism theorems for cohomology groups of weakly 1-complete manifolds, Publ. RIMS, Kyoto Univ. 18 (1982), 191-232.
  15. A Stein domain with smooth boundary which has a product structure, Publ. RIMS, Kyoto Univ. 18 (1982), 1185-1186.
  16. Cohomology vanishing theorems on weakly 1-complete manifolds, Publ. RIMS, Kyoto Univ. 19 (1983), 1181-1201.
  17. Vanishing theorems on complete Kähler manifolds, Publ. RIMS, Kyoto Univ. 20 (1984), 21-38.
  18. Global realization of strongly pseudoconvex CR manifolds, Publ. RIMS, Kyoto Univ. 20 (1984), 599-605.
  19. Completeness of noncompact analytic spaces, Publ. RIMS, Kyoto Univ. 20 (1984), 683-692.
  20. Strongly pseudoconvex manifolds and strongly pseudoconvex domains, Publ. RIMS, Kyoto Univ. 20 (1984), 705-715. (S. Nakano との共著)
  21. Boundary behavior of the Bergman kernel function on pseudoconvex domains, Publ. RIMS, Kyoto Univ. 20 (1984), 897-902.
  22. On the domain of for existence for p-pluriharmonic functions, Publ. RIMS, Kyoto Univ. 20 (1984), 1021-1024.
  23. Holomorphic embedding of compact s.p.c. manifolds into complex manifolds as real hypersurfaces, Differential geometry of submanifolds (Kyoto, 1984), Lecture Notes in Math., vol.1090, Springer, Berlin, 1984, pp. 64-76.
  24. Harmonic mappings and disc bundles over compact Kähler manifolds, Publ. RIMS, Kyoto Univ. 21 (1985), 819-833. (K. Diederich との共著)
  25. The Bergman kernel on uniformly extendable pseudoconvex domains, Math. Ann. 273 (1986), 471-478. (K. Diederich, G. Herbort との共著)
  26. On the hyperbolicity of certain planar domains, Math Zeit. 195 (1987), 127-128.
  27. A vanishing theorem for proper direct images, Publ. RIMS, Kyoto Univ. 23 (1987), 243-250.
  28. Hodge spectral sequence on compact Kähler spaces, Publ. RIMS, Kyoto Univ. 23 (1987), 265-274.
  29. On the extension of $L^2$ holomorphic functions, Math Zeit. 195 (1987), 197-204. (K. Takegoshi との共著.いわゆる Ohsawa-Takegoshi の拡張定理.)
  30. Hodge spectral sequence and symmetry on compact Kähler spaces, Publ. RIMS, Kyoto Univ. 23 (1987), 613-625.
  31. On the rigidity of noncompact quotients of bounded symmetric domains, Publ. RIMS, Kyoto Univ. 23 (1987), 881-894. (原論文では「RIMS」が「MIMS」になっている.)
  32. Complete intersections with growth conditions, Adv. Stud. in Pure Math. 10 (1987), 91-104. (O. Forster との共著)
  33. Hodge spectral sequence on pseudoconvex domains, Math Zeit. 197 (1988), 1-12. (K. Takegoshi との共著)
  34. An extension of Hodge theory to Kähler spaces with isolated singularities of restricted type, Publ. RIMS, Kyoto Univ. 24 (1988), 253-263.
  35. On the extension of $L^2$ holomorphic functions II, Publ. RIMS, Kyoto Univ. 24 (1988), 265-275.
  36. On the infinite dimensionality of the middle $L^2$ cohomology of complex domains, Publ. RIMS, Kyoto Univ. 25 (1989), 499-502.
  37. A generalization of the Weitzenböck formula and an analytic approach to Morse theory, J.Ramanujan Math. Soc. 4 (1989), 121-144.
  38. Cheeger-Goreski-MacPherson's conjecture for the varieties with isolated singularities, Math Zeit. 206 (1991), 219-224.
  39. On the parameter dependence of solutions to the $\overline{\partial}$-equation, Math. Ann. 289 (1991), 581-588. (K. Diederich との共著)
  40. Supplement to "Hodge spectral sequence on compact Kähler spaces", Publ. RIMS, Kyoto Univ. 27 (1991), 505-507.
  41. A vanishing theorem on Kähler manifolds with certain stratified structures, Complex Analysis Volume 1 of the series Aspects of Mathematics pp 231-234.
  42. A strong harmonic representation theorem on complex spaces with isolated singularities, Prospects in Complex Geometry Volume 1468 of the series Lecture Notes in Mathematics pp 170-176.
  43. Applications of the $\overline{\partial}$ technique in $L^2$ Hodge theory on complete Kähler manifolds, Proceedings of Symposia in Pure Mathematics. volume 52 (1991), 413-424.
  44. Hodge spectral sequence on pseudoconvex domains, II, Revue Roumaine Math. Pures Appl. 36 (1991), 253-260.
  45. Recent applications of $L^2$ estimates for the operator $\overline{\partial}$, Proceedings of the International Congress of Mathematics, Kyoto, Japan, 1991 913-921.
  46. On the $L^2$ cohomology of complex spaces, Math Zeit. 209 (1992), 519-530.
  47. On the $L^2$ cohomology of complex spaces II, Nagoya Math. J. vol. 127 (1992), 49-59.
  48. A continuity principle for the Bergman kernel function, Publ. RIMS, Kyoto Univ. 28 (1992), 495-501. (K. Diederich との共著)
  49. On the Bergman kernel of hyperconvex domains, Nagoya Math. J. vol. 129 (1993), 43-52.
  50. The existence of right inverses of residue homomorphisms, Complex Analysis and Geometry Part of the series The University Series in Mathematics pp 285-291.
  51. Une caractérisation des points de stricte pseudoconvexité par la métrique de Bergman, C. R. Acad. Sci. Paris, t. 317 (1993), Série I, p.555-558. (K. Diederich との共著)
  52. On the $L^2$ cohomology groups of isolated singularities, Adv. Stud. in Pure Math. 22 (1993), 247-263.
  53. General continuity principles for the Bergman kernel, International Journal of Math. Vol. 5, No. 2 (1994), 189-199. (K. Diederich との共著.数理解析研究所講究録 第856巻 1994年 10-21 にも掲載.)
  54. On the extension of $L^2$ holomorphic functions IV: a new density concept, Geometry and analysis on complex manifolds: Festschrift for S.Kobayashi, World Sci, 1994, 157-170.
  55. An estimate for the Bergman distance on pseudoconvex domains, Ann. Math. 141 (1995), 181–190. (K. Diederich との共著)
  56. Addendum to "On the Bergman kernel of hyperconvex domains", Nagoya math. J. 129 (1993), 43-52, Nagoya Math. J. 137 (1995), 145-148.
  57. On the extension of $L^2$ holomorphic functions III: negligible weights, Math Zeit. 219 (1995), 215-225.
  58. On a class of (-3,1)-exceptional $\mathbb{P}^1$, complex analysis and geometry: lecture notes in pure and applied mathematics. 173 (1995), 369-376.
  59. On the analytic structure of certain infinite dimensional Teicmüller spaces, Nagoya Math. J. 141 (1996), 143-156.
  60. A note on the variation of Riemann surfaces, Nagoya Math. J. 142 (1996), 1-4.
  61. Applications of $L^2$ estimates and some complex geometry, Geometric Complex Analysis edited by Junjiro Noguchi et al, World Sci, 1996, 505-523.
  62. On the stability of pseudoconvexity for certain covering spaces, Nagoya Math. J. 147 (1997), 107-112.
  63. A report on isolated singularities by transchendental methods, Adv. Stud. in Pure Math. 25 (1997), 276-284.
  64. Bounded p.s.h functions and pseudoconvexity in Kähler manifold, Nagoya Math. J. 149 (1998), 1-8. (N. Sibony との共著)
  65. On pseudoconvex domains in $\mathbb{P}^n$, Tokyo J. Math. 21 (1998), 353-358. (K. Diederich との共著)
  66. A remark on the integrability and boundedness of automorphic forms, Analysis and Topology edited by Cabiria Andreian Cazacu et al, World Sci, 1998, 561-567.
  67. Pseudoconvex domains in $\mathbb{P}^n$: a question on the 1-convex boundary points, Analysis and Geometry In Several Complex Variables, Katata, 1997, Trends in Mathematics, pp. 239-252, Birkhäuser, Boston (1999).
  68. An essay on the Bergman metric and balanced domains, Reproducing Kernels and their Applications Volume 3 of the series International Society for Analysis, Applications and Computation pp 141-148.
  69. Kähler identity on Levi flat manifolds and application to the embedding, Nagoya Math. J. 158 (2000), 87-93. (N. Sibony との共著)
  70. Nonexistence of real analytic Levi flat hypersurfaces in $\mathbb{P}^n$, Nagoya Math. J. 158 (2000), 95-98.
  71. Moment problems for weighted Bergman kernels, Progress in Mathematics, Vol. 188 (2000), 111-122.
  72. On the extension of $L^2$ holomorphic functions V -effects of generalization, Nagoya Math. J. 161 (2001), 1-21.
  73. Extension and division on complex manifolds, Analytic Extension Formulas and their Applications Volume 9 of the series International Society for Analysis, Applications and Computation pp 189-206.
  74. Erratum ''On the extension of $L^2$ holomorphic function V -effects of generalization'', Nagoya Math. J. 163 (2001), 229.
  75. On certain existence questions for pseudoconvex hypersurfaces in complex manifolds, Math. Ann. 323 (2002), 397-403. (K. Diederich との共著)
  76. A precise $L^2$ division theorem, Complex Geometry, Gättingen, 2000, pp. 185-191. Springer, Berlin (2002).
  77. On the real analytic Levi flat hypersurfaces in complex tori of dimension two, Ann. Inst. Fourier, Grempble 52, 5 (2002), 1525-1532. (K. Matsumoto との共著)
  78. On the extension of $L^2$ holomorphic functions VI - a limiting case, Contemporary Mathematics Volume 332 (2003), 235-239.
  79. Generalization of reice $L^2$ division theorem, Adv. Stud. in Pure Math. 42 (2004), 249-261.
  80. Behavior of the Bergman kernel at infinity, Math Zeit. 248 (2004), 695-708. (B. Chen, J. Kamimoto との共著)
  81. On a curvature condition that implies a cohomology injectivity theorem of Kollár-Skoda type, Publ. RIMS, Kyoto Univ. 41 (2005), 565-577.
  82. On the Levi-flats in complex tori of dimension two, Publ. RIMS, Kyoto Univ. 42 (2006), 361-377.
  83. Supplement to ''On the Levi-flats in complex tori of dimension two'', Publ. RIMS, Kyoto Univ. 42 (2006), 379-382.
  84. A Levi-flat in a Kummer surface whose complement is strongly pseudoconvex, Osaka J. Math. 43 (2006), 747-750.
  85. On the complement of Levi-flats in Kähler manifolds of dimension $\geq$ 3, Nagoya Math. J. 185 (2007), 161-169.
  86. On the Displacment rigidity of Levi flat hypersurfaces - The case of boundaries of disc bundles over compact Riemann surfaces, Publ. RIMS, Kyoto Univ. 43 (2007), 171-180.
  87. A note on the Bergman metric of bounded homogeneous domains, Nagoya Math. J. 186 (2007), 157-163. (C. Kai との共著)
  88. $\overline{\partial}$-cohomology and geometry of the boundary of pseudoconvex domains, Annales Polonici Mathematici (2007) Volume: 91, Issue: 2-3, page 249-262.
  89. A remark on pseudoconvex domains with analytic complements in compact Kähler manifolds, J. math. Kyoto Univ. 47-1 (2007), 115-119.
  90. An interpolation theorem on cycle spaces for functions arising as integrals of $\overline{\partial}$-closed forms, Publ. RIMS, Kyoto Univ. 43 (2007), 911-922.
  91. A generalization of Matsushima's embedding theorem, J. math. Kyoto Univ. 48-2 (2008), 383-388.

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