From triangulated categories to cluster algebras II
Philippe Caldero, Bernhard Keller (2006)
Annales scientifiques de l'École Normale Supérieure
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Philippe Caldero, Bernhard Keller (2006)
Annales scientifiques de l'École Normale Supérieure
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Dan Barbasch (1983)
Annales scientifiques de l'École Normale Supérieure
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O. Gabber, A. Joseph (1981)
Annales scientifiques de l'École Normale Supérieure
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Paul Roberts (1976)
Annales scientifiques de l'École Normale Supérieure
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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...
Bernhard Keller (1994)
Annales scientifiques de l'École Normale Supérieure
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