Cohomology of abelian arrangements
Algebraic Geometry
2018-05-10 v4 Algebraic Topology
Abstract
An abelian arrangement is a finite set of codimension one abelian subvarieties (possibly translated) in a complex abelian variety. In this paper, we study the cohomology of the complement of an abelian arrangement. For unimodular abelian arrangements, we provide a combinatorial presentation for a differential graded algebra whose cohomology is isomorphic to the rational cohomology of the complement. Moreover, this DGA has a bi-grading that allows us to compute the mixed Hodge numbers.
Keywords
Cite
@article{arxiv.1310.4866,
title = {Cohomology of abelian arrangements},
author = {Christin Bibby},
journal= {arXiv preprint arXiv:1310.4866},
year = {2018}
}
Comments
11 pages; to appear in Proceedings of the American Mathematical Society