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arXiv · 0712.0201

Some finiteness results for Fourier-Mukai partners

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

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David Favero. 2007-12-03. Some finiteness results for Fourier-Mukai partners. https://arxiv.org/abs/0712.0201

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