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math.AG2026
The contraherent version of the theorem of Slavik and Stovicek
Leonid Positselski
This is a paper about contraherent cosheaves on non-semi-separated schemes. We prove two theorems, a negative one and a positive one. On the negative side, let be a quasi-compa…
math.RA2026
Homomorphisms of topological rings and change-of-scalar functors
Leonid Positselski
We consider homomorphisms of complete, separated right or two-sided linear topological rings with countable bases of neighborhoods of zero $\mathfrak f\colon\mathfrak R\to\mathfrak…
math.AG2026
Contraherent cosheaves of contramodules on Noetherian formal schemes
Leonid Positselski
There are two main results in this paper: the MGM equivalence between the conventional derived categories of abelian/exact categories, and the derived co-contra correspondence (i.e…