Moduli of twisted orbifold sheaves

TL;DR

This paper investigates the moduli stacks of slope-semistable twisted sheaves on orbisurfaces, demonstrating they share many asymptotic properties with those on smooth projective surfaces, under certain conditions.

Contribution

It extends the understanding of moduli of twisted sheaves to orbisurfaces, showing they exhibit similar asymptotic behaviors as in the smooth case.

Findings

Moduli stacks of twisted sheaves on orbisurfaces have many asymptotic properties of classical sheaf moduli.

Certain cases ensure these moduli behave similarly to those on smooth projective surfaces.

Results bridge the gap between twisted sheaves on orbisurfaces and classical sheaf theory.

Abstract

We study stacks of slope-semistable twisted sheaves on orbisurfaces with projective coarse spaces and prove that in certain cases they have many of the asymptotic properties enjoyed by the moduli of slope-semistable sheaves on smooth projective surfaces.