Algebraic Geometry Seminar
Mihnea Popa
UIC
Derived equivalence and the Picard variety
Abstract: I will explain a result, joint with Christian Schnell, saying that if two smooth projective varieties have equivalent derived categories of coherent
sheaves, then their Picard (and Albanese) varieties are isogeneous; in particular the number of independent holomorphic 1-forms is derived invariant.
A consequence of this is that derived equivalent threefolds have the same Hodge numbers.
Thursday January 14, 2010 at 4:00 PM in SEO 636