Moduli spaces of slope-semistable sheaves with reflexive Seshadri graduations
Algebraic Geometry
2026-01-14 v3 Complex Variables
Abstract
We study the moduli stacks of slope-semistable torsion-free coherent sheaves that admit reflexive, respectively locally free, Seshadri graduations on a smooth projective variety. We show that they are open in the stack of coherent sheaves and that they admit good moduli spaces when the field characteristic is zero. In addition, in the locally free case we prove that the resulting moduli space is a quasi-projective scheme.
Keywords
Cite
@article{arxiv.2407.06819,
title = {Moduli spaces of slope-semistable sheaves with reflexive Seshadri graduations},
author = {Mihai Pavel and Matei Toma},
journal= {arXiv preprint arXiv:2407.06819},
year = {2026}
}
Comments
v3: improved presentation