2006/11/17 by Mathieu Anel, Anel, M., B. Toen +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.math/0611545
Let X → S be a miniversal family of smooth and projective varieties and D be a fixed triangulated category. We show that the set of points s in S such that the derived category of the fiber Xs at s is equivalent to D is at most countable. We deduce from this that the derived equivalence classes of smooth and projective complex varieties is at most countable.