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arXiv · 2410.11109

Generic Vanishing for Singular Varieties via Du Bois complexes

Anh Duc Vo
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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. 2024-10-14. Generic Vanishing for Singular Varieties via Du Bois complexes. https://arxiv.org/abs/2410.11109

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