On Pure Silting Complexes

Citation:

Qianqian YUAN,,Hailou YAO.On Pure Silting Complexes[J].Chinese Annals of Mathematics B,2026,(4):711~728
Page view: 206        Net amount: 126

Authors:

Qianqian YUAN,; Hailou YAO

Foundation:

the National Natural Science Foundation of China (No. 12071120) and the China Scholarship Council (No. 202306540088).
Abstract: The authors introduce the concept of pure silting complexes and study their main properties. This concept generalizes silting complexes in pure derived category. They also show Bazzoni’s characterization of the pure silting complexes and characterize 2- term pure silting complexes by the connections with the t-structure and torsion pair. Furthermore, they give the Brenner-Butler Theorem about 2-term pure silting complexes.

Keywords:

Pure silting complex  Pure derived category  t-structure  Torsion pair

Classification:

16E35, 18E30, 16D90, 18G25
Download PDF Full-Text

Organizer:The Ministry of Education of China Sponsor:Fudan University Address:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn
Designed by Beijing E-Tiller Co.,Ltd.