English

A short proof of the Hanlon-Hicks-Lazarev Theorem

Algebraic Geometry 2024-05-15 v3 Commutative Algebra

Abstract

We give a short, new proof of a recent result of Hanlon-Hicks-Lazarev about toric varieties. As in their work, this leads to a proof of a conjecture of Berkesch-Erman-Smith on virtual resolutions and to a resolution of the diagonal in the simplicial case.

Keywords

Cite

@article{arxiv.2303.14319,
  title  = {A short proof of the Hanlon-Hicks-Lazarev Theorem},
  author = {Michael K. Brown and Daniel Erman},
  journal= {arXiv preprint arXiv:2303.14319},
  year   = {2024}
}

Comments

6 pages. To appear in Forum of Mathematics, Sigma