Showing 2025Show all
3 papers · 1 filter
math.KT2025
Rigidity of the category of localizing motives
Alexander I. Efimov
In this paper we study the category of localizing motives -- the target of the universal finitary localizing invariant of idempotent-compl…
math.KT2025
Some remarks on Quillen's Dévissage theorem
Alexander I. Efimov
In this paper we give a different proof of Quillen's Dévissage theorem using Barwick's theorem of the heart. The key ingredient is a certain short exact sequence of dg categories,…
math.KT2025
Localizing invariants of inverse limits
Alexander I. Efimov
In this paper we study the category of nuclear modules on an affine formal scheme as defined by Clausen and Scholze \cite{CS20}. We also study related constructions in the framewor…