Vanishing theorems for weakly 1-complete manifolds. II. (English) Zbl 0298.32019


32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results
53C55 Global differential geometry of Hermitian and Kählerian manifolds
32U05 Plurisubharmonic functions and generalizations
14F25 Classical real and complex (co)homology in algebraic geometry
Full Text: DOI


[1] Fujiki, A. and S. Nakano, Supplement to ”On the inverse of monoidal trans- formation”, PubL RIMS, Kyoto Univ., 7 (1971-72) pp. 637-644.
[2] Griffiths, P. A., Hermitean differential geometry, Chern classes, and positive vector bundles, Global Analysis - papers in honor of K. Kodaira - (1969) pp. 185-251. Uni- versity of Tokyo Press and Princeton University Press. · Zbl 0201.24001
[3] Kazama, H., Approximation theorem and application to Nakano’s vanishing theorem for weakly 1-complete manifolds, Mem. Fac. Sci, Kyushu Univ., 27 (1973) pp. 221-240. · Zbl 0276.32019 · doi:10.2206/kyushumfs.27.221
[4] Kobayashi, S. and Ochiai, T., On complex manifolds with positive tangent bundles, J. of Math. Soc. Japan, 22 (1970) pp. 499-525. · Zbl 0197.36003 · doi:10.2969/jmsj/02240499
[5] Nakano, S., On the inverse of monoidal transformation, PubL RIMS, Kyoto Univ., 6 (1970-71) pp. 483-502.
[6] Nakano, S., Vanishing theorems for weakly 1-complete manifolds, Number theory, algebraic geometry and commutative algebra - in honor of Yasuo Akizuki -(1973) pp. 169-179, Kinokuniya, Tokyo. · Zbl 0272.14005
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.