arXiv (Cornell University) · 2014 · 106 citations · 32 references
Natural SciencesMathematicsAlgebraGeometryAlgebraic GeometryAlgebraic StructuresAlgebraic TopologyCategory TheoryHomological AlgebraProjective GeometryAlgebraic Geometry ComputationCanonical ModulesDerived CategoriesProjective DualityResolution Of Singularities
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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