Ind-abelian categories and quasi-coherent sheaves
نویسندگان
چکیده
منابع مشابه
Derived Categories Of Quasi-coherent Sheaves
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 . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملDerived Categories of Coherent Sheaves and Motives
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 ...
متن کاملDerived Categories of Coherent Sheaves and Triangulated Categories of Singularities
In this paper we establish an equivalence between the category of graded D-branes of type B in Landau-Ginzburg models with homogeneous superpotential W and triangulated category of singularities of the fiber of W over zero. We also proved that the category of graded D-branes of type B in such LG-models is connected by a fully faithful functor with the derived category of coherent sheaves on the...
متن کاملOn equivalences of derived categories of coherent sheaves on abelian varieties
It was proved in [Po1] that if the varieties A × Â and B × B̂ are symplectically isomorphic, where A and B are abelian varieties over algebraically closed field, then the derived categories of coherent sheaves D coh(A) and D b coh(B) are equivalent. The aim of this paper is to give the proof for the inverse statement (see Th.2.7 ), i.e. if the derived categories D coh(A) and D b coh(B) are equiv...
متن کاملDescent for Quasi-coherent Sheaves on Stacks
We give a homotopy theoretic characterization of sheaves on a stack and, more generally, a presheaf of groupoids on an arbitary small site C. We use this to prove homotopy invariance and generalized descent statements for categories of sheaves and quasi-coherent sheaves. As a corollary we obtain an alternate proof of a generalized change of rings theorem of Hovey.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2014
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004114000401