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- W2953304843 abstract "We study the $(k,s)$-positivity for holomorphic vector bundles on compact complex manifolds. $(0,s)$-positivity is exactly the Demailly $s$-positivity and a $(k,1)$-positive line bundle is just a $k$-positive line bundle in the sense of Sommese. In this way we get a unified theory for all kinds of positivities used for semipositive vector bundles. Several new vanishing theorems for $(k,s)$-positive vector bundles are proved and the vanishing theorems for $k$-ample vector bundles on projective algebraic manifolds are generalized to $k$-positive vector bundles on compact Kahler manifolds." @default.
- W2953304843 created "2019-06-27" @default.
- W2953304843 creator A5019425607 @default.
- W2953304843 date "2010-07-10" @default.
- W2953304843 modified "2023-09-24" @default.
- W2953304843 title "$(k,s)$-positivity and vanishing theorems for compact Kahler manifolds" @default.
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- W2953304843 doi "https://doi.org/10.48550/arxiv.1007.1714" @default.
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