Balmer, P. and Stevenson, G. (2021) Relative stable categories and birationality. Journal of the London Mathematical Society, 104(4), pp. 1765-1794. (doi: 10.1112/jlms.12474)
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Abstract
We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligiannis, particularly in the tensor-triangular setting. We prove a birationality result, showing that the original category and its relative stable quotient are equivalent on some open piece of their spectrum.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Stevenson, Dr Gregory |
| Authors: | Balmer, P., and Stevenson, G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of the London Mathematical Society |
| Publisher: | Wiley |
| ISSN: | 0024-6107 |
| ISSN (Online): | 1469-7750 |
| Published Online: | 03 June 2021 |
| Copyright Holders: | Copyright © 2021 The Authors |
| First Published: | First published in Journal of the London Mathematical Society 104(4): 1765-1794 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
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