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A differential graded approach to the silting theorem

Institution:	1. Department of Mathematics and Computer Science, School of Biomedical Engineering and Informatics, Nanjing Medical University, Nanjing, 211166, PR China;2. Department of Mathematics, Nanjing University, Nanjing, 210093, PR China;1. Department of Mathematics, China Jiliang University, Hangzhou 310018, Zhejiang Province, PR China;2. Department of Mathematics, Nanjing University, Nanjing 210093, Jiangsu Province, PR China;1. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, PR China;2. Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, PR China;1. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Napoli, Italy;2. School of Mathematical Sciences, Queen Mary University of London, London, England, United Kingdom

Abstract:	A silting theorem was established by Buan and Zhou as a generalisation of the classical tilting theorem of Brenner and Butler. In this paper, we give an alternative proof of the theorem by using differential graded algebras.

Keywords:	2-Term silting complex Differential graded algebra Torsion pair
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