Some finiteness results for Fourier-Mukai partners
classification
🧮 math.AG
math.CT
keywords
fourier-mukaipartnerssomeabelianalgebraicapplicationsbondalcategory
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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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