Foxby-morphism and derived equivalences

作者：Mandal Satya^*

来源：Journal of Algebra, 2015, 440: 113-127.

DOI：10.1016/j.jalgebra.2015.05.019

• Schemes
• Resolving categories
• Derived categories

For quasi-projective schemes X over affine schemes Spec(A), resolving subcategories A of Coh(X) were considered. The equivalences D-b(M-g(k)(A)) -> similar to iota D-g(k)((M-g(0)(A)) <- similar to iota' D-g(k)(A) of derived categories were established, where M-g(k)(A) = {F is an element of Coh(X) : dim(A)(F) < infinity, grade(F) >= k} and D-k denote the corresponding filtration of the derived category.

• 出版日期2015-10-15