Title

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

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