English

The Zariski-Lipman conjecture for toric varieties

Algebraic Geometry 2022-07-04 v3

Abstract

We give a short proof of the Zariski-Lipman conjecture for toric varieties: any complex toric variety with locally free tangent sheaf is smooth.

Keywords

Cite

@article{arxiv.2202.02109,
  title  = {The Zariski-Lipman conjecture for toric varieties},
  author = {Carl Tipler},
  journal= {arXiv preprint arXiv:2202.02109},
  year   = {2022}
}

Comments

Minor revisions. To appear in Journal of Algebra

R2 v1 2026-06-24T09:19:48.153Z