Semiorthogonal decomposition for algebraic varieties

Details Semiorthogonal decomposition for algebraic varieties Semiorthogonal decomposition for algebraic varieties

1995-06-19

arxiv.org/abs/alg-geom/9506012v1

Mathematics

Algebraic Geometry

LaTeX 2.9

Scientific paper

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.

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