5 papers · 1 filter
The contraherent version of the theorem of Slavik and Stovicek
Leonid Positselski
Let be a quasi-compact, quasi-separated scheme that is not semi-separated. We present a locally cotorsion contraherent cosheaf on that does not have an admissible monomorph…
Contraherent cosheaves of contramodules on Noetherian formal schemes
Leonid Positselski
We define the exact category of contraherent cosheaves of contramodules on a locally Noetherian formal scheme, as well as the exact categories of locally contraherent cosheaves of…
- duality on the contra side
Leonid Positselski
Given a smooth morphism of schemes , denote by the sheaf of rings of fiberwise crystalline differential operators on relative t…
Roos axiom holds for quasi-coherent sheaves
Leonid Positselski
Let be either a quasi-compact semi-separated scheme, or a Noetherian scheme of finite Krull dimension. We show that the Grothendieck abelian category of qua…
Philosophy of contraherent cosheaves
Leonid Positselski
Contraherent cosheaves are module objects over algebraic varieties defined by gluing using the colocalization functors. Contraherent cosheaves are designed to be used for globalizi…