Deformations and Fourier-Mukai transforms

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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.
To appear in Journal of Differential Geometry

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Algebraic Geometry, 18E30 14A22 14B10 14E30

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http://salesiana.dossiersoluciones.com/handle/123456789/126948

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502571
 http://arxiv.org/abs/math/0502571

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arXiv