131 citations · 953 across the 64 of their papers we have counts for
6 papers · 1 filter
Local, colocal, and antilocal properties of modules and complexes over commutative rings
Leonid Positselski
This paper is a commutative algebra introduction to the homological theory of quasi-coherent sheaves and contraherent cosheaves over quasi-compact semi-separated schemes. Antilocal…
Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity
Leonid Positselski, Jan Stovicek
We show that every flat quasi-coherent sheaf on a quasi-compact quasi-separated scheme is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More gene…
Fp-projective periodicity
Silvana Bazzoni, Michal Hrbek, Leonid Positselski
The phenomenon of periodicity, discovered by Benson and Goodearl, is linked to the behavior of the objects of cocycles in acyclic complexes. It is known that any flat $\mathsf{Proj…
Coderived and contraderived categories of locally presentable abelian DG-categories
Leonid Positselski, Jan Stovicek
The concept of an abelian DG-category, introduced by the first-named author in arXiv:2110.08237, unites the notions of abelian categories and (curved) DG-modules in a common framew…
Differential graded Koszul duality: an introductory survey
Leonid Positselski
This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir arXiv:0905.2621. The paper is intended to serve as a pedagogical intr…
Topologically semiperfect topological rings
Leonid Positselski, Jan Stovicek
We define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a mo…