Kodaira-type Vanishings via Non-abelian Hodge Theory

Published 19 Jul 2022 in math.AG and math.DG | (2207.09064v3)

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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Authors (1)

Chuanhao Wei

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