Some finiteness results for Fourier-Mukai partners

Details Some finiteness results for Fourier-Mukai partners Some finiteness results for Fourier-Mukai partners

2007-12-03

arxiv.org/abs/0712.0201v3

Mathematics

Algebraic Geometry

17 pages, some concessions had to be made with regards to when the autoequivalence group produces an arithmetic action on coho

Scientific paper

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 $D$-modules. We also generalize a famous
theorem due to A. Bondal and D. Orlov.

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