Braid group actions on derived categories of coherent sheaves
نویسندگان
چکیده
منابع مشابه
Braid Group Actions on Derived Categories of Coherent Sheaves
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety X. The motivation for this is M. Kontsevich’s homological mirror conjecture, together with the occurrence of certain braid group actions in symplectic geometry. One of the main results is that when dimX ≥ 2, our braid group actions are always faithful. We describe conjectural mirror s...
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In this paper we give, for semi-simple groups without factors of type G2, a geometric construction of a braid group action on Db Coh(g̃) extending the action constructed by Bezrukavnikov, Mirković and Rumynin in the context of localization in positive characteristic. It follows that this action extends to characteristic zero, where it also has some nice representationtheoretic interpretations. T...
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The bounded derived category of coherent sheaves D(X) is a natural triangulated category which can be associated with an algebraic variety X. It happens sometimes that two different varieties have equivalent derived categories of coherent sheaves D(X) ≃ D(Y ). There arises a natural question: can one say anything about motives of X and Y in that case? The first such example (see [4]) – abelian ...
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2 Derived Structures 4 2.1 Derived Direct Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Derived Sheaf Hom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Derived Inverse Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Existence of Quasi-coherent Flats . . . . . . . . . . . . . . . . . . . . . . . ....
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2001
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-01-10812-0