Cohomology of abelian arrangements

Document Type

Article

Publication Date

7-1-2016

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.

Publication Source (Journal or Book title)

Proceedings of the American Mathematical Society

First Page

3093

Last Page

3104

This document is currently not available here.

Share

COinS