8 papers
Contraherent cosheaves on schemes
Leonid Positselski
Contraherent cosheaves are globalizations of contraadjusted or cotorsion modules over commutative rings obtained by gluing together over a scheme, with the colocalization functors…
Pseudo-dualizing complexes and pseudo-derived categories
Leonid Positselski
The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by dropping the injective dimension condition, while retaining the finite generatedness an…
Exact DG-categories and fully faithful triangulated inclusion functors
Leonid Positselski
We construct an "almost involution" assigning a new DG-category to a given one, and use this construction to recover, say, the abelian category of graded modules over the graded ri…
Contraderived categories of CDG-modules
Leonid Positselski, Jan Stovicek
For any CDG-ring , we show that the homotopy category of graded-projective (left) CDG-modules over is equivalent to the quotient category of the ho…
Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors
Leonid Positselski
In this paper we consider a conilpotent coalgebra over a field . Let be the natural functor of inclusion of the c…
Generalized periodicity theorems
Leonid Positselski
Let be a ring and be a class of strongly finitely presented (FP) -modules closed under extensions, direct summands, and syzygies. Let $(\mathsf A,\mat…