Moduli spaces of slope-semistable sheaves with reflexive Seshadri graduations

Autor:	Pavel, Mihai, Toma, Matei
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables 14D20 32G13
Druh dokumentu:	Working Paper
Popis:	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. Comment: v2: Added remarks 3.1 and 3.2 on openness in the analytic case, small notational change
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.06819 Zobrazit plný text záznamu View this record from Arxiv