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Displaying similar documents to “On equivalences of derived and singular categories”

Geometric and categorical nonabelian duality in complex geometry

Siegmund Kosarew (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.

On the motive of a quotient variety.

Sebastián del Baño Rollin, Vicente Navarro Aznar (1998)

Collectanea Mathematica

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We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.

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...

Generators in the category of S-posets

Valdis Laan (2008)

Open Mathematics

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The paper contains characterizations of generators and cyclic projective generators in the category of ordered right acts over an ordered monoid.