2000 character limit reached
Telescope conjecture for quiver representations over artinian rings
Published 17 Sep 2025 in math.RT, math.AC, and math.RA | (2509.14179v1)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper.