Deformations and Fourier-Mukai transforms
Yukinobu Toda
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 Db(X)/to Db(Y) extends to an equivalence between the derived categories of the deformed Abelian categories.
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