Moduli spaces of twisted sheaves on a projective variety

Details Moduli spaces of twisted sheaves on a projective variety Moduli spaces of twisted sheaves on a projective variety

2004-11-24

arxiv.org/abs/math/0411538v2

Mathematics

Algebraic Geometry

14 pages, The proof of Lemma 3.18 is changed

Scientific paper

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.

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