2007/12/03 by David Favero, Favero, David
Mathematics · #Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #math.AG #math.CT
paper · pdf · doi:10.48550/arxiv.0712.0201
17 pages, some concessions had to be made with regards to when the autoequivalence group produces an arithmetic action on cohomology
arxiv created 2011/05/17 · arxiv updated 2011/05/18
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.