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arXiv · 1906.07350

A Koll\'{a}r-type vanishing theorem

Jingcao Wu
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Abstract

Let $f:X\rightarrow Y$ be a smooth fibration between two complex manifolds $X$ and $Y$, and let $L$ be a pseudo-effective line bundle on $X$. We obtain a sufficient condition for $R^{q}f_{\ast}(K_{X/Y}\otimes L)$ to be reflexive and hence derive a Koll\'{a}r-type vanishing theorem.

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Jingcao Wu. 2019-06-18. A Koll\'{a}r-type vanishing theorem. https://arxiv.org/abs/1906.07350

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