Perverse sheaves on semiabelian varieties
Algebraic Geometry
2015-03-30 v1
Abstract
We give a Tannakian description for categories of l-adic perverse sheaves on semiabelian varieties which combines a construction of Gabber and Loeser for algebraic tori with a generic vanishing theorem for the cohomology of constructible sheaves on abelian varieties. As an application we explain how the arising Tannaka groups on abelian varieties can be studied in terms of semiabelian degenerations via the functor of nearby cycles.
Cite
@article{arxiv.1309.4726,
title = {Perverse sheaves on semiabelian varieties},
author = {Thomas Krämer},
journal= {arXiv preprint arXiv:1309.4726},
year = {2015}
}
Comments
14 pages