Inventiones mathematicae

, Volume 44, Issue 3, pp 225–258 | Cite as

On automorphism groups of compact Kähler manifolds

  • Akira Fujiki


Manifold Automorphism Group 
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  1. 1.
    Akao, K.: On prehomogeneous compact Kähler manifolds. In: Proc. Int. Conf. on Manifolds and Related Topics in Topology, pp. 365–372. Tokyo Univ. of Tokyo Press 1964Google Scholar
  2. 2.
    Barth, W., Oeljeklaus, E.: Über die Albanese-Abbildung einer fasthomogenen Kählermannigfaltigkeit. Math. Ann.211, 47–62 (1974)Google Scholar
  3. 3.
    Blanchard, A.: Sur les variétés analytiques complexes. Ann. Sci. ecole norm. super.73, 157–202 (1956)Google Scholar
  4. 4.
    Borel, A.: Linear Algebraic Groups. Benjamin 1969Google Scholar
  5. 5.
    Borel, A., Remmert, R.: Über kompakte homogene Kählersche Mannigfaltigkeiten. Math. Ann.145, 429–439 (1962)Google Scholar
  6. 6.
    Carrell, J.B.: Holomorphically injective complex toral actions. In: Proc. of the second conference on compact transformation groups, pp. 205–236. Lecture Notes in Math. No. 299 (1972)Google Scholar
  7. 7.
    Carrell, J.B., Lieberman, D.: Holomorphic vector fields and Kähler manifolds. Invent. Math.21, 303–309 (1973)Google Scholar
  8. 8.
    Conner, P.E., Raymond, F.: Holomorphic Seifert fibring. In: Proc. of the second conference on compact transformation groups, pp. 134–204. Lecture Notes in Math. No. 299 (1972)Google Scholar
  9. 9.
    Deligne, P.: Theorime de Lefschet et critéres de degenerescence de suites spectrals, Publ. Math. IHES35, 107–126 (1968)Google Scholar
  10. 10.
    Dold, A.: Lectures on algebraic topology. Springer Bd. 200, 1972Google Scholar
  11. 11.
    Douady, A.: Le probléme de modules pur les sous-espaces analytiques compacts d'un espace analytique donné. Ann. Inst. Fourier (Grenoble)16, 1–95 (1966)Google Scholar
  12. 12.
    Fujiki, A.: Closedness of the Douady spaces of compact Kähler spaces (to appear in Publ. Math. RIMS Kyoto Univ.)Google Scholar
  13. 13.
    Fujiki, A.: Countability of the Douady space of a complex space (to appear)Google Scholar
  14. 14.
    Hironaka, H.: Bimeromorphic smoothing of a complex-analytic space. Math. Inst. Warwick Univ., England 1971Google Scholar
  15. 15.
    Hironaka, H.: Flattening theorem in complex-analytic geometry. Amer. J. Math.97, 503–547 (1975)Google Scholar
  16. 16.
    Holmann, H.: Komplexe Räume mit komplexen Transformationsgruppen. Math. Ann.150, 327–360 (1963)Google Scholar
  17. 17.
    Kobayashi, S.: Transformation groups in differential geometry. Berlin-Heidelberg-New York: Springer 1972Google Scholar
  18. 18.
    Matsumura, H.: On algebraic groups of birational transformations. Rend. Acad. Naz. Lincei Ser. VII34, 151–155 (1963)Google Scholar
  19. 19.
    Matsushima, Y.: Holomorphic vector fields on compact Kähler manifolds. Conf. Board Math. Sci. Regional Conf. Ser. in Math. 7, Amer. Math. Soc. 1971Google Scholar
  20. 20.
    Morimoto, A.: Non-compact complex Lie groups without non-constant holomorphic functions. In: Proc. of the conf. on Complex Analysis, pp. 256–272. Berlin-Heidelberg-New York: Springer 1964Google Scholar
  21. 21.
    Remmert, R., Ven, A. van de: Zur Funktionentheorie homogener komplexer Mannigfaltigkeiten. Topology2, 137–157 (1963)Google Scholar
  22. 22.
    Potters, J.: On almost homogeneous compact complex analytic surfaces. Invent. Math.8, 244–266 (1969)Google Scholar
  23. 23.
    Posenlichit, M.: Some basic theorems on algebraic groups. Amer. J. Math.78, 401–443 (1956)Google Scholar
  24. 24.
    Serre, J-P: Groupes algebriques et corps de classes. Paris: Hermann 1959Google Scholar
  25. 25.
    Serre, J-P.: On the fundamental group of a unirational variety. Journal of London Math. Soc.34, 481–484 (1959)Google Scholar
  26. 26.
    Sommese, A.J.: Holomorphic vector fields on compact Kähler manifolds. Math. Ann.210, 75–82 (1974)Google Scholar
  27. 27.
    Sommese, A.J.: Extension Theorems for reductive group actions on compact Kähler manifolds. Math. Ann.218, 107–116 (1975)Google Scholar
  28. 28.
    Sumihiro, H.: Equivariant completion. Journal of Math. of Kyoto Univ.14, 1–28 (1974)Google Scholar
  29. 29.
    Ueno, K.: Classification theory of algebraic varieties and compact complex spaces. Lecture Notes in Math. No. 439 Springer (1975)Google Scholar
  30. 30.
    Weil, A.: On algebraic groups of transformations. Amer. J. Math.77, 355–391 (1955)Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Akira Fujiki
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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