Balchin, Scott and Greenlees, John and Pol, Luca and Williamson, Jordan (2022) Torsion models for tensor-triangulated categories: the one-step case. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 22 (6). pp. 2805-2856. ISSN 1472-2739
Full text not available from this repository. (Request a copy)Abstract
Given a suitable stable monoidal model category C and a specialization closed subset V of its Balmer spectrum, one can produce a Tate square for decomposing objects into the part supported over V and the part supported over Vc spliced with the Tate object. Using this one can show that C is Quillen equivalent to a model built from the data of local torsion objects, and the splicing data lies in a rather rich category. As an application, we promote the torsion model for the homotopy category of rational circle-equivariant spectra of Greenlees (1999) to a Quillen equivalence. In addition, a close analysis of the one-step case highlights important features needed for general torsion models, which we will return to in future work.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAIC-GEOMETRY; EQUIVARIANT; COHOMOLOGY; SPECTRUM; MODULES; SUPPORT |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Feb 2024 14:01 |
| Last Modified: | 15 Feb 2024 14:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57716 |
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