Fourier-Mukai functors and perfect complexes on dual numbers
Algebraic Geometry
2015-05-19 v3
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.
Keywords
Cite
@article{arxiv.1309.7215,
title = {Fourier-Mukai functors and perfect complexes on dual numbers},
author = {Francesco Amodeo and Riccardo Moschetti},
journal= {arXiv preprint arXiv:1309.7215},
year = {2015}
}
Comments
23 pages, Final version to appear in J. Algebra