Remarks on derived equivalences of Ricci-flat manifolds

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We present results indicating that the decomposition of a Ricci-flat manifold in its irreducible factors is reflected by the derived category of coherent sheaves. More precisely, we prove that a smooth projective variety that is derived equivalent to an abelian variety resp. an irreducible symplectic variety is of the same type. The paper also contains a proof of a conjecure of Caldararu for manifolds with trivial canonical bundle saying that the modified HKR isomorphism for Hochschild homology is compatible with the module structure.
25 pages

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Algebraic Geometry, 14J32; 18E30

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http://salesiana.dossiersoluciones.com/handle/123456789/146929

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.4747
 http://arxiv.org/abs/0801.4747

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arXiv