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Semiorthogonal decompositions in algebraic geometry

Published 11 Apr 2014 in math.AG | (1404.3143v3)

Abstract: In this review we discuss what is known about semiorthogonal decompositions of derived categories of algebraic varieties. We review existing constructions, especially the homological projective duality approach, and discuss some related issues such as categorical resolutions of singularities.

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