paper

Openness with respect to levels in triangulated categories

arXiv:2505.14353

Abstract

Given a compactly generated triangulated category equipped with an action of a graded-commutative Noetherian ring , generalizing results of Letz, we prove a general result concerning the openness with respect to levels of compact objects in . Applications are given to derived categories of commutative Noetherian rings, derived categories of commutative Noetherian DG rings and singularity categories.

arXiv comment22 pages, comments are welcome!