Deformations and Fourier-Mukai transforms

Yukinobu Toda

Deformations and Fourier-Mukai transforms

代数几何 2007-05-23 v3

作者: Yukinobu Toda

摘要

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.

关键词

fourier-mukai transform deformation theory perverse sheaves

引用

@article{arxiv.math/0502571,
  title  = {Deformations and Fourier-Mukai transforms},
  author = {Yukinobu Toda},
  journal= {arXiv preprint arXiv:math/0502571},
  year   = {2007}
}

备注

To appear in Journal of Differential Geometry

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