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Compatibility of t-Structures in a Semiorthogonal Decomposition

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. Green open access

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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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