Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings

Autor:	Hrbek, Michal, Nakamura, Tsutomu
Rok vydání:	2019
Předmět:	Mathematics - Commutative Algebra Mathematics - Representation Theory 13D09 (Primary) 18E30 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jpaa.2020.106571
Popis:	We show that any homotopically smashing t-structure in the derived category of a commutative noetherian ring is compactly generated. This generalizes the validity of the telescope conjecture for commutative noetherian rings due to Neeman. As another consequence, we obtain a cofinite type result for pure-injective cosilting objects. We also give a formulation of telescope conjecture for homotopically smashing t-structures in underlying triangulated categories of certain Grothendieck derivators. Comment: 15 pages, minor revision, to appear in Journal of Pure and Applied Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.11030 Zobrazit plný text záznamu View this record from Arxiv