Locally coherent exact categories
L Positselski - arXiv preprint arXiv:2311.02418, 2023 - arxiv.org
A locally coherent exact category is a finitely accessible additive category endowed with an
exact structure in which the admissible short exact sequences are the directed colimits of the …
exact structure in which the admissible short exact sequences are the directed colimits of the …
Philosophy of contraherent cosheaves
L Positselski - arXiv preprint arXiv:2311.14179, 2023 - arxiv.org
Contraherent cosheaves are module objects over algebraic varieties defined by gluing
using the colocalization functors. Contraherent cosheaves are designed to be used for …
using the colocalization functors. Contraherent cosheaves are designed to be used for …
Contraderived categories of CDG-modules
L Positselski, J Stovicek - arXiv preprint arXiv:2401.07021, 2024 - arxiv.org
For any CDG-ring $ B^\bullet=(B^*, d, h) $, we show that the homotopy category of graded-
projective (left) CDG-modules over $ B^\bullet $ is equivalent to the quotient category of the …
projective (left) CDG-modules over $ B^\bullet $ is equivalent to the quotient category of the …