English

Equivariant sheaves on toric prevarieties

Algebraic Geometry 2026-05-05 v1

Abstract

Toric prevarieties are non-separated analogues of toric varieties. Perling \cite{Perling_equivariant_sheaves_tor_var} provided a combinatorial description of equivariant quasicoherent sheaves on toric varieties, extending earlier ideas of Klyachko, who outlined a general framework for equivariant torsion free sheaves in an unpublished work \cite{kly_sheaf}. In this article, we present a combinatorial description of equivariant quasicoherent sheaves on toric prevarieties.

Keywords

Cite

@article{arxiv.2605.01504,
  title  = {Equivariant sheaves on toric prevarieties},
  author = {Jyoti Dasgupta and Kartik Roy},
  journal= {arXiv preprint arXiv:2605.01504},
  year   = {2026}
}

Comments

17 pages. Comments are welcome

R2 v1 2026-07-01T12:46:50.177Z