We prove that smooth projective varieties with equivalent derived categories have isogenous Picard varieties. In particular their irregularity and number of independent vector fields are the same. This implies that all Hodge numbers are the same for arbitrary derived equivalent threefolds, as well as other consequences of derived equivalence based on numerical criteria.
|Original language||English (US)|
|Number of pages||10|
|Journal||Annales Scientifiques de l'Ecole Normale Superieure|
|State||Published - 2011|
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