Central Support for Triangulated Categories
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Publication:6182648
DOI10.1093/IMRN/RNAD242arXiv2301.10464OpenAlexW4388261918MaRDI QIDQ6182648
Publication date: 25 January 2024
Published in: IMRN. International Mathematics Research Notices (Search for Journal in Brave)
Abstract: For any essentially small triangulated category the centre of its lattice of thick subcategories is introduced; it is a spatial frame and yields a notion of central support. A relative version of this centre recovers the support theory for tensor triangulated categories and provides a universal notion of cohomological support. Along the way we establish Mayer-Vietoris sequences for pairs of commuting subcategories.
Full work available at URL: https://arxiv.org/abs/2301.10464
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