On derived equivalences of categories of sheaves over finite posets
نویسندگان
چکیده
منابع مشابه
On Derived Equivalences of Categories of Sheaves over Finite Posets
A finite poset X carries a natural structure of a topological space. Fix a field k, and denote by D(X) the bounded derived category of sheaves of finite dimensional k-vector spaces over X. Two posets X and Y are said to be derived equivalent if D(X) and D(Y ) are equivalent as triangulated categories. We give explicit combinatorial properties of X which are invariant under derived equivalence, ...
متن کاملEquivalences of Derived Categories of Sheaves on Quasi-projective Schemes
We extend Orlov’s result on representability of equivalences to schemes projective over a field. We also investigate the quasi-projective case.
متن کاملUniversal Derived Equivalences of Posets
By using only combinatorial data on two posets X and Y , we construct a set of so-called formulas. A formula produces simultaneously, for any abelian category A, a functor between the categories of complexes of diagrams over X and Y with values in A. This functor induces a triangulated functor between the corresponding derived categories. This allows us to prove, for pairs X, Y of posets sharin...
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 کاملDerived Categories Of Sheaves
4 Derived Tensor 15 4.1 Tensor Product of Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.2 Hoflat Complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4.3 Derived Tensor Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.4 Change of Rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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: Journal of Pure and Applied Algebra
سال: 2008
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2007.06.005