Moduli spaces of twisted sheaves on a projective variety

Kota Yoshioka

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Moduli spaces of twisted sheaves on a projective variety

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arxiv math/0411538 v2 pith:6LFJMNF2 submitted 2004-11-24 math.AG

Moduli spaces of twisted sheaves on a projective variety

Kota Yoshioka This is my paper

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keywords modulisheavestwistedprojectiveresultsvarietyapplicationcaldararu

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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.

Moduli spaces of twisted sheaves on a projective variety

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