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arXiv · 2210.04131

Kollár's Package for Twisted Saito's S-sheaves

Junchao Shentu·Chen Zhao
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Abstract

We generalize Kollár's conjecture (including torsion freeness, injectivity theorem, vanishing theorem and decomposition theorem) to Saito's $S$-sheaves twisted by a $\mathbb{Q}$-divisor. This gives a uniform treatment for various kinds of Kollár's package in different topics in complex geometry. As a consequence we prove Kollár's package of pluricanonical bundles twisted by a certain multiplier ideal sheaf. The method of the present paper is $L^2$-theoretic.

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BibTeXRIS

Junchao Shentu, Chen Zhao. 2022-10-09. Kollár's Package for Twisted Saito's S-sheaves. https://arxiv.org/abs/2210.04131

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