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.References
- Ludger Kaup, Eine Künnethformel für Fréchetgarben, Math. Z. 97 (1967), 158–168 (German). MR 216033, DOI 10.1007/BF01111357
- Hans Grauert and Oswald Riemenschneider, Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen, Invent. Math. 11 (1970), 263–292 (German). MR 302938, DOI 10.1007/BF01403182
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