Moduli spaces of twisted sheaves on a projective variety

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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.
14 pages, The proof of Lemma 3.18 is changed

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Algebraic Geometry, 14

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http://salesiana.dossiersoluciones.com/handle/123456789/100954

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411538
 http://arxiv.org/abs/math/0411538

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arXiv