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arXiv:math/0502571 [math.AG]AbstractReferencesReviewsResources

Deformations and Fourier-Mukai transforms

Yukinobu Toda

Published 2005-02-28, updated 2007-04-06Version 3

The aim of this paper is twofold: First we give an explicit construction of the infinitesimal deformations of the category Coh(X) of coherent sheaves on a smooth projective variety X. Secondly we show that any Fourier-Mukai transform $/Phi/colon D^b(X)/to D^b(Y)$ extends to an equivalence between the derived categories of the deformed Abelian categories.

Comments: To appear in Journal of Differential Geometry
Categories: math.AG
Subjects: 18E30, 14A22, 14B10, 14E30
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