Acyclic toric sheaves
Algebraic Geometry
2026-04-30 v2
Abstract
Let be a torus-linearised reflexive sheaf over a smooth projective toric variety. Generalising a theorem of Perlman and Smith, we prove an explicit sufficient condition for to be acyclic via Weil decorations.
Cite
@article{arxiv.2505.22333,
title = {Acyclic toric sheaves},
author = {Klaus Altmann and Andreas Hochenegger and Frederik Witt},
journal= {arXiv preprint arXiv:2505.22333},
year = {2026}
}
Comments
10 pages, minor changes, same content as published version