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Bandman, T. M.

Surjective holomorphic mappings of projective manifolds. (English) Zbl 0491.32019

Sib. Math. J. 22, 204-210 (1981).
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Cited in 7 Documents

MSC:

32H99 Holomorphic mappings and correspondences
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
32J25 Transcendental methods of algebraic geometry (complex-analytic aspects)
14J25 Special surfaces

Keywords:

de Franchis theorem; finiteness of number of holomorphic mapping; Moisezon space

Citations:

Zbl 0462.32009
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Full Text: DOI

References:

[1] S. Kobayashi, ?Intrinsic distances, measures and geometric function theory,? Bull. Am. Math. Soc.,82, 357-416 (1976). · Zbl 0346.32031 · doi:10.1090/S0002-9904-1976-14018-9
[2] P. Samuel, ?Complement a un article de Hans Grauert sur la conjecture de Mordell,? IHES, Publ. Math.,29, 311-319 (1966). · Zbl 0144.20102
[3] S. Kobayashi and T. Ochiai, ?Meromorphic mappings into compact complex manifolds of general type,? Invent. Math.,31, 7-16 (1975). · Zbl 0331.32020 · doi:10.1007/BF01389863
[4] Kenji Ueno, Classification Theory of Algebraic Varieties and Compact Complex Spaces, Lecture Notes in Math., No. 439, Springer-Verlag, Berlin-New York (1975). · Zbl 0299.14007
[5] T. Matsusaka, ?On canonical polarized varieties. II,? Am. J. Math.,92, 283-292 (1970). · Zbl 0195.22802 · doi:10.2307/2373508
[6] I. R. Shafarevich, Fundamentals of Algebraic Geometry [in Russian], Nauka, Moscow (1972). · Zbl 0253.14006
[7] H. Cartan, ?Quotients of complex analytic spaces,? in: Contributions to Function Theory, (International Colloquium on Function Theory), Tata Institute of Fundamental Research, Bombay (1960), pp. 1-15.
[8] H. Grauert and R. Remmert, ?Espaces analytiquement complets,? C. R. Acad. Sci. Paris,245, 882-885 (1957). · Zbl 0083.30701
[9] R. Hartshorne, Ample Subvarieties of Algebraic Varieties, Lecture Notes in Math., Vol. 156, Springer-Verlag, Berlin-New York (1970). · Zbl 0208.48901
[10] S. Kobayashi, Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York (1970).
[11] P. Samuel, Methodes d’algebra abstraite en geometrie algebrique, Springer-Verlag, Berlin-New York (1967).
[12] S. T. Yau, ?Calabi’s conjecture and some new results in algebraic geometry,? Proc. Nat. Acad. Sci. USA,75, 1798-1799 (1977). · Zbl 0355.32028 · doi:10.1073/pnas.74.5.1798
[13] F. Hirzebruch, Topological Methods in Algebraic Geometry, 3rd ed., Springer-Verlag, Berlin-New York (1966). · Zbl 0138.42001
[14] Algebraic Surfaces [in Russian], Tr. Mat. Inst. Akad. Nauk SSSR im. Steklova, Vol. 75, Nauka, Moscow (1965). · Zbl 0154.21001
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