The connection between combinatorics and cohomology of elliptic arrangements

Abstract

We prove that the cohomology algebra of elliptic arrangements depends only on the poset of layers. In the particular case of braid elliptic arrangements, we study the cohomology as representation and we compute some Hodge numbers. Finally, we discuss 1-formality for graphic elliptic arrangements.

Section 4 of version 2 has been moved in arXiv:1901.01171. Changed title from previous version. 26 pages, 5 figures