Deletion-restriction in toric arrangements

Abstract

Deletion-restriction is a fundamental tool in the theory of hyperplane arrangements. Various important results in this field have been proved using deletion-restriction. In this paper we use deletion-restriction to identify a class of toric arrangements for which the cohomology algebra of the complement is generated in degree $1$. We also show that for these arrangements the complement is formal in the sense of Sullivan.

v2: typos fixed, 11 pages. Accepted for publication in Journal of Ramanujan Mathematical Society