Moduli spaces of twisted sheaves on a projective variety

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.

14 pages, The proof of Lemma 3.18 is changed

References in corpus (3)

• Vector bundles on a K3 surface
• Proof of Caldararu's conjecture. An appendix to a paper by Yoshioka
• Equivalences of twisted K3 surfaces

Cited by in corpus (3)

• Projectivity and Birational Geometry of Bridgeland moduli spaces
• Moduli spaces of bundles over non-projective K3 surfaces
• Equivalence of K3 surfaces from Verra threefolds