Moduli spaces of slope-semistable pure sheaves
Algebraic Geometry
2022-04-05 v3
Abstract
We construct a moduli space of slope-semistable pure sheaves, building upon previous work of Le Potier and Jun Li on torsion-free sheaves over smooth surfaces. In particular, our construction provides a compactification of the Simpson moduli space of slope-stable reflexive sheaves. We also prove an effective restriction theorem for slope-(semi)stable pure sheaves following an approach due to Langer.
Keywords
Cite
@article{arxiv.2105.09395,
title = {Moduli spaces of slope-semistable pure sheaves},
author = {Mihai Pavel},
journal= {arXiv preprint arXiv:2105.09395},
year = {2022}
}
Comments
31 pages, minor corrections, additional new results in Section 5, modified the introduction