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December 2014 Gluing silting objects
Qunhua Liu, Jorge Vitória, Dong Yang
Nagoya Math. J. 216: 117-151 (December 2014). DOI: 10.1215/00277630-2847151

Abstract

Recent results by Keller and Nicolás and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and co-t-structures with certain objects of the derived category: silting objects. On the other hand, the techniques of gluing (co-)t-structures along a recollement play an important role in the understanding of derived module categories. Using the above correspondence with silting objects, we present explicit constructions of gluing of silting objects, and, furthermore, we answer the question of when the glued silting is tilting.

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Qunhua Liu. Jorge Vitória. Dong Yang. "Gluing silting objects." Nagoya Math. J. 216 117 - 151, December 2014. https://doi.org/10.1215/00277630-2847151

Information

Published: December 2014
First available in Project Euclid: 9 January 2015

zbMATH: 1342.18022
MathSciNet: MR3319841
Digital Object Identifier: 10.1215/00277630-2847151

Subjects:
Primary: 16E35
Secondary: 18E30

Rights: Copyright © 2014 Editorial Board, Nagoya Mathematical Journal

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Vol.216 • December 2014
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