English

Semiorthogonal decomposition for algebraic varieties

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheaves on the intersection of two even dimensional quadrics is obtained. The behaviour of derived categories with respect to birational transformations is investigated. A theorem about reconstruction of a variety from the derived category of coherent sheaves is proved.

Keywords

Cite

@article{arxiv.alg-geom/9506012,
  title  = {Semiorthogonal decomposition for algebraic varieties},
  author = {A. Bondal and D. Orlov},
  journal= {arXiv preprint arXiv:alg-geom/9506012},
  year   = {2008}
}

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