arXiv:2410.11109 Abstract | arXiv Analytics

arXiv:2410.11109 [math.AG]Abstract References Reviews Resources

Generic Vanishing for Singular Varieties via Du Bois complexes

Published 2024-10-14Version 1

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].

Comments: 23 pages. Comments are welcome!

Categories: math.AG

Subjects: 14F17, 32L20, 32S35

Keywords: singular varieties, bois complexes, appropriate generic vanishing theorems, well-known generic vanishing theorem, nakano type

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