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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the surjectivity of $ \Gamma (E)\otimes \Gamma (F)\rightarrow \Gamma (E\otimes F)$


Author: Roy H. Ogawa
Journal: Proc. Amer. Math. Soc. 85 (1982), 342-344
MSC: Primary 32L10; Secondary 14F05, 32L20
MathSciNet review: 656098
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Abstract: If $ E$ and $ F$ are vector bundles over a compact connected Moisezon complex manifold $ X$ with canonical bundle $ K$ and $ E \otimes {K^{ - 1}}$ and $ F \otimes {K^{ - 1}}$ are positive in the sense of Nakano then $ \Gamma (E) \otimes \Gamma (F) \to \Gamma (E \otimes F)$ is surjective.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0656098-8
Keywords: Moisezon manifold, positive vector bundle, vanishing theorem, Künneth formula
Article copyright: © Copyright 1982 American Mathematical Society