English

Generic vanishing for semi-abelian varieties and integral Alexander modules

Algebraic Topology 2017-08-01 v1

Abstract

We revisit generic vanishing results for perverse sheaves with any field coefficients on a complex semi-abelian variety, and indicate several topological applications. In particular, we obtain finiteness properties for the integral Alexander modules of complex algebraic varieties mapping to semi-abelian varieties. Similar results were recently derived by the authors by using Morse-theoretic arguments.

Keywords

Cite

@article{arxiv.1707.09806,
  title  = {Generic vanishing for semi-abelian varieties and integral Alexander modules},
  author = {Yongqiang Liu and Laurentiu Maxim and Botong Wang},
  journal= {arXiv preprint arXiv:1707.09806},
  year   = {2017}
}

Comments

17 pages; comments are welcome!

R2 v1 2026-06-22T21:02:10.953Z