Generic Vanishing for Singular Varieties via Du Bois complexes

Published 14 Oct 2024 in math.AG | (2410.11109v1)

Abstract: We prove appropriate generic vanishing theorems for singular varieties, generalizing the well-known generic vanishing theorem by Green and Lazarsfeld in [GL87] and the generic vanishing theorem of Nakano type in [PS13]. Our theorem explains the counterexample of Hacon and Kov\'acs in [HK15].

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Anh Duc Vo

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