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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the surjectivity of $\Gamma (E)\otimes \Gamma (F)\rightarrow \Gamma (E\otimes F)$
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by Roy H. Ogawa PDF
Proc. Amer. Math. Soc. 85 (1982), 342-344 Request permission

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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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 342-344
  • MSC: Primary 32L10; Secondary 14F05, 32L20
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0656098-8
  • MathSciNet review: 656098