Construction of t-structures and equivalences of derived categories

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We associate a t-structure to a family of objects in D(A), the derived category of a Grothendieck category A. Using general results on t-structures, we give a new proof of Rickard's theorem on equivalence of bounded derived categories of modules. Also, we extend this result to bounded derived categories of quasi-coherent sheaves on separated divisorial schemes obtaining, in particular, Beilinson's equivalences.
Proof of 6.5 clarified, to appear in Trans. A.M.S., 22 pages

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Representation Theory, Algebraic Geometry, 18E30;14F05; 16D90

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http://salesiana.dossiersoluciones.com/handle/123456789/63469

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0203009
 http://arxiv.org/abs/math/0203009

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arXiv