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Deformations and Fourier-Mukai transforms

Yukinobu Toda
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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.

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Yukinobu Toda. 2007-04-06. Deformations and Fourier-Mukai transforms. https://arxiv.org/abs/math/0502571

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