Displaying similar documents to “Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves”

Homological projective duality

Alexander Kuznetsov (2007)

Publications Mathématiques de l'IHÉS

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We introduce a notion of homological projective duality for smooth algebraic varieties in dual projective spaces, a homological extension of the classical projective duality. If algebraic varieties X and Y in dual projective spaces are homologically projectively dual, then we prove that the orthogonal linear sections of X and Y admit semiorthogonal decompositions with an equivalent nontrivial component. In particular, it follows that triangulated categories of singularities of these...

Deriving DG categories

Bernhard Keller (1994)

Annales scientifiques de l'École Normale Supérieure

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