Work

Moduli Spaces of Slope-semistable Sheaves With Reflexive Seshadri Graduations

Year: 2025

Type: article

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.

Source: Nagoya Mathematical Journal

DOI: 10.1017/nmj.2025.10076

Authors: MIHAI PAVEL, MATEI TOMA

Institutions: IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Université de Lorraine

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4413435035

FWCI:

Cites: 37

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Related to: 10