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| On Pure Silting Complexes |
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Citation： |
Qianqian YUAN,,Hailou YAO.On Pure Silting Complexes[J].Chinese Annals of Mathematics B,2026,(4):711~728 |
| Page view： 594
Net amount： 326 |
Authors： |
Qianqian YUAN,; Hailou YAO |
Foundation： |
the National Natural Science Foundation of China (No. 12071120) and the
China Scholarship Council (No. 202306540088). |
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| 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 |
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