Generic Vanishing for Singular Varieties via Du Bois complexes
Algebraic Geometry
2024-10-16 v1
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].
Keywords
Cite
@article{arxiv.2410.11109,
title = {Generic Vanishing for Singular Varieties via Du Bois complexes},
author = {Anh Duc Vo},
journal= {arXiv preprint arXiv:2410.11109},
year = {2024}
}
Comments
23 pages. Comments are welcome!