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Abstract: We prove that smooth projective varieties with equivalent derived categorieshave isogenous and sometimes isomorphic Picard varieties. In particular theirirregularity and number of independent vector fields are the same. This is turnimplies, in combination with the invariance of Hochschild homology, that allHodge numbers are the same for arbitrary derived equivalent threefolds.



Autor: Mihnea Popa, Christian Schnell

Fuente: https://arxiv.org/







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