Deformations and Fourier-Mukai transforms

Abstract

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

Cited by in corpus (1)

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