The finite type of modules of bounded projective dimension and Serre's conditions

M Hrbek, G Le Gros - Bulletin of the London Mathematical …, 2023 - Wiley Online Library
Let RR be a commutative Noetherian ring. For a natural number kk, we prove that the class
of modules of projective dimension bounded by kk is of finite type if and only if RR satisfies …

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 …