A correspondence and distance of t-structures
Representation Theory
2023-01-11 v2 Rings and Algebras
Abstract
For two t-structures and with on a triangulated category , we give a correspondence between t-structure which satisfies and a pair of full subcategories of . Then we give a way to determine the distance of two t-structure if we have known that their distance is finite.In addition, if we set a t-structure whose heart and that has a non-trivial torsion pair, then for any integer , we can construct a t-structure such that the distance between and is .
Cite
@article{arxiv.2210.01541,
title = {A correspondence and distance of t-structures},
author = {Junhua Zheng},
journal= {arXiv preprint arXiv:2210.01541},
year = {2023}
}
Comments
13 pages. Any comments are welcome