English

Poincar\'e duality and resonance varieties

Algebraic Topology 2020-12-09 v3 Commutative Algebra

Abstract

We explore the constraints imposed by Poincar\'e duality on the resonance varieties of a graded algebra. For a 3-dimensional Poincar\'e duality algebra AA, we obtain a fairly precise geometric description of the resonance varieties Rki(A)\mathcal{R}^i_k(A).

Cite

@article{arxiv.1809.01801,
  title  = {Poincar\'e duality and resonance varieties},
  author = {Alexander I. Suciu},
  journal= {arXiv preprint arXiv:1809.01801},
  year   = {2020}
}

Comments

26 pages; accepted for publication in the Proceedings of the Royal Society of Edinburgh Section A: Mathematics

R2 v1 2026-06-23T03:56:01.720Z