From triangulated categories to cluster algebras II
Philippe Caldero, Bernhard Keller (2006)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves”
From triangulated categories to cluster algebras II
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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...
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