Some finiteness results for Fourier-Mukai partners
Algebraic Geometry
2011-05-18 v3 Category Theory
Abstract
We develop some methods for studying the Fourier-Mukai partners of an algebraic variety. As applications we prove that abelian varieties have finitely many Fourier-Mukai partners and that they are uniquely determined by their derived category of coherent -modules. We also generalize a famous theorem due to A. Bondal and D. Orlov.
Keywords
Cite
@article{arxiv.0712.0201,
title = {Some finiteness results for Fourier-Mukai partners},
author = {David Favero},
journal= {arXiv preprint arXiv:0712.0201},
year = {2011}
}
Comments
17 pages, some concessions had to be made with regards to when the autoequivalence group produces an arithmetic action on cohomology