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Fourier-Mukai functors and perfect complexes on dual numbers

Authors
  • Amodeo, Francesco
  • Moschetti, Riccardo
Type
Preprint
Publication Date
May 17, 2015
Submission Date
Sep 27, 2013
Identifiers
arXiv ID: 1309.7215
Source
arXiv
License
Yellow
External links

Abstract

We show that every exact fully faithful functor from the category of perfect complexes on the spectrum of dual numbers to the bounded derived category of a noetherian separated scheme is of Fourier-Mukai type. The kernel turns out to be an object of the bounded derived category of coherent complexes on the product of the two schemes. We also study the space of stability conditions on the derived category of the spectrum of dual numbers.

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