English

Deletion-restriction in toric arrangements

Algebraic Topology 2015-05-11 v2

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 11. We also show that for these arrangements the complement is formal in the sense of Sullivan.

Keywords

Cite

@article{arxiv.1406.0302,
  title  = {Deletion-restriction in toric arrangements},
  author = {Priyavrat Deshpande and Kavita Sutar},
  journal= {arXiv preprint arXiv:1406.0302},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T04:28:12.998Z