Lorenzin, Antonio;
(2022)
Compatibility of t-Structures in a Semiorthogonal Decomposition.
Applied Categorical Structures
, 30
(4)
pp. 755-778.
10.1007/s10485-022-09672-2.
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Abstract
We describe how to obtain a global t-structure from a semiorthogonal decomposition with compatible t-structures on every component. This result is used to generalize a well-known theorem of Bondal on full strong exceptional sequences.
Type: | Article |
---|---|
Title: | Compatibility of t-Structures in a Semiorthogonal Decomposition |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1007/s10485-022-09672-2 |
Publisher version: | https://doi.org/10.1007/s10485-022-09672-2 |
Language: | English |
Additional information: | © 2025 Springer Nature. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Triangulated categories, t-Structures, Semiorthogonal decomposition, Exceptional sequences, Filtered enhancement |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
URI: | https://discovery.ucl.ac.uk/id/eprint/10206523 |
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