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arXiv · 2207.09064

Kodaira-type Vanishings via Non-abelian Hodge Theory

Chuanhao Wei
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Abstract

In this paper, we use non-abelian Hodge Theory to study Kodaira type vanishings and its generalizations. In particular, we generalize Saito vanishing using Mixed Twistor D-modules. We also generalize it to a Kawamata-Viehweg type vanishing using Q-divisors, and we also prove a relative version for a projective morphism.

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Chuanhao Wei. 2022-07-19. Kodaira-type Vanishings via Non-abelian Hodge Theory. https://arxiv.org/abs/2207.09064

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