Moduli spaces of twisted sheaves on a projective variety

2004/11/24 by Kōta Yoshioka, Yoshioka, Kota · 3 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0411538

Abstract

We construct the moduli of twisted sheaves on a projective variety. Then we generalize known results on the moduli space of usual sheaves on a K3 surface to the twisted case. Thus we consider the non-emptyness, the deformation type and the Fourier-Mukai transformation. As an application of our results, Daniel Huybrechts and Paolo Stellari prove Caldararu's conjecture.

Cited by

• Moduli of vector bundles on μ_n-gerbes over genus 2 curves and the period-index problem
• Projectivity and Birational Geometry of Bridgeland moduli spaces
• The Tate-Shafarevich group of a polarised K3 surface

Related

• Non-Fine Moduli Spaces of Sheaves on K3 Surfaces
• A note on deformations of moduli spaces of sheaves on K3 surfaces
• Counting Twisted Tame Fourier-Mukai Partners of an Ordinary K3 Surface
• Moduli of sheaves on K3's and higher dimensional HK varieties
• Moduli spaces of stable sheaves on abelian surfaces