3 papers
math.AG2020
The homotopy category of pure injective flats and Grothendieck duality
Esmaeil Hosseini
Let (X;OX) be a locally noetherian scheme with a dualizing complex D. We prove that DOX - : K(PinfX)----> K(InjX) is an equivalence of triangulated categories where K(InjX) is the…
math.AG2018
Purity and flatness in symmetric monoidal closed exact categories
Esmaeil Hosseini, Ali Zaghian
Let A be a symmetric monoidal closed exact category. This category is a natural framework to define the notions of purity and flatness. We show that an object F in A is flat if and…
math.AG2017
The homotopy category of flat functors
Esmaeil Hosseini, Ali Zaghian
Let C be a small category and G be a tensor Grothendieck category. We define a notion of atness in the category Fun(C; G) of all covariant functors from C to G and show that the in…