Semiorthogonal decomposition for algebraic varieties

1995/06/19 by Bondal, A., Orlov, D. · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9506012

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.

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• Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds
• A simpler kernel for stratified Mukai flops
• Generating systems, generalized Thomsen collections and derived categories of toric varieties

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