Telescope conjecture for quiver representations over artinian rings
Representation Theory
2025-12-02 v2 Commutative Algebra
Rings and Algebras
Abstract
Let be the derived category of representations of a small category over a commutative noetherian ring . We study the homotopically smashing t-structures on this category. Specifying our discussion to the stalk categories for a finite quiver and a prime ideal of , we prove the telescope conjecture for the derived category of representations of finite quivers over artinian rings. More generally, we prove the same result also outside of the noetherian context, for representations of finite quivers over commutative perfect rings.
Cite
@article{arxiv.2509.14179,
title = {Telescope conjecture for quiver representations over artinian rings},
author = {Michal Hrbek and Enrico Sabatini},
journal= {arXiv preprint arXiv:2509.14179},
year = {2025}
}
Comments
14 pages