English

Two Examples of Toric Arrangements

Combinatorics 2019-06-19 v3 Algebraic Topology

Abstract

We show that the integral cohomology algebra of the complement of a toric arrangement is not determined by the poset of layers. Moreover, the rational cohomology algebra is not determined by the arithmetic matroid (however it is determined by the poset of layers).

Keywords

Cite

@article{arxiv.1804.05767,
  title  = {Two Examples of Toric Arrangements},
  author = {Roberto Pagaria},
  journal= {arXiv preprint arXiv:1804.05767},
  year   = {2019}
}

Comments

12 pages, 1 figure, removed section 3

R2 v1 2026-06-23T01:25:06.902Z