Cohomology rings of compactifications of toric arrangements

TL;DR

This paper describes the integer cohomology rings of projective models for the complement of toric arrangements in algebraic tori, providing explicit generators and relations.

Contribution

It offers a detailed algebraic description of the cohomology rings for these compactifications, advancing understanding of their topological structure.

Findings

Explicit generators and relations for the cohomology rings

Complete algebraic description of the cohomology structure

Enhanced understanding of toric arrangement complements

Abstract

Some projective wonderful models for the complement of a toric arrangement in a n-dimensional algebraic torus T were constructed in [3]. In this paper we describe their integer cohomology rings by generators and relations.