Meromorphic mappings into compact complex manifolds with a Grauert positive bundle of 𝑞-forms

Kwack, Myung H.

doi:10.1090/S0002-9939-1983-0687645-9

Meromorphic mappings into compact complex manifolds with a Grauert positive bundle of $q$-forms
HTML articles powered by AMS MathViewer

by Myung H. Kwack PDF

Proc. Amer. Math. Soc. 87 (1983), 699-703 Request permission

Abstract:

It is shown that a Schwarz lemma, a Picard extension theorem, and a Bloch theorem are valid for meromorphic mappings into compact complex manifolds with Grauert-positive bundle of $q$-forms.

References

James A. Carlson, Some degeneracy theorems for entire functions with values in an algebraic variety, Trans. Amer. Math. Soc. 168 (1972), 273–301. MR 296356, DOI 10.1090/S0002-9947-1972-0296356-0
Phillip A. Griffiths, Holomorphic mapping into canonical algebraic varieties, Ann. of Math. (2) 93 (1971), 439–458. MR 281954, DOI 10.2307/1970883
W. Kaup, Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Invent. Math. 3 (1967), 43–70 (German). MR 216030, DOI 10.1007/BF01425490
Shoshichi Kobayashi, Hyperbolic manifolds and holomorphic mappings, Pure and Applied Mathematics, vol. 2, Marcel Dekker, Inc., New York, 1970. MR 0277770
Shoshichi Kobayashi and Takushiro Ochiai, Mappings into compact manifolds with negative first Chern class, J. Math. Soc. Japan 23 (1971), 137–148. MR 288316, DOI 10.2969/jmsj/02310137
Myung H. Kwack, A Schwarz lemma for canonical algebraic manifolds, Proc. Amer. Math. Soc. 41 (1973), 219–222. MR 326008, DOI 10.1090/S0002-9939-1973-0326008-6
H. Wu, Normal families of holomorphic mappings, Acta Math. 119 (1967), 193–233. MR 224869, DOI 10.1007/BF02392083