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
Recommended Citation
Bibby, C. (2016). Cohomology of abelian arrangements. Proceedings of the American Mathematical Society, 144 (7), 3093-3104. https://doi.org/10.1090/proc/12937