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Grothendieck-Witt groups of some singular schemes
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Karoubi, Max, Schlichting, Marco and Weibel, Charles (2021) Grothendieck-Witt groups of some singular schemes. Proceedings of the London Mathematical Society, 122 (4). pp. 521-536. doi:10.1112/plms.12383 ISSN 0024-6115 .
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WRAP-Grothendieck-Witt-groups-some-singular-schemes-Schlichting-2020.pdf - Accepted Version - Requires a PDF viewer. Download (777Kb) | Preview |
Official URL: https://doi.org/10.1112/plms.12383
Abstract
We establish some structural results for the Witt and Grothendieck–Witt groups of schemes over ℤ[1/2] , including homotopy invariance for Witt groups and a formula for the Witt and Grothendieck–Witt groups of punctured affine spaces over a scheme. All these results hold for singular schemes and at the level of spectra.
| Item Type: | Journal Article | |||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
| Library of Congress Subject Headings (LCSH): | K-theory, Algebraic number theory, Homotopy theory, Geometry, Hyperbolic | |||||||||
| Journal or Publication Title: | Proceedings of the London Mathematical Society | |||||||||
| Publisher: | Wiley-Blackwell Publishing Ltd. | |||||||||
| ISSN: | 0024-6115 | |||||||||
| Official Date: | April 2021 | |||||||||
| Dates: |
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| Volume: | 122 | |||||||||
| Number: | 4 | |||||||||
| Page Range: | pp. 521-536 | |||||||||
| DOI: | 10.1112/plms.12383 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | This is the accepted version of the following article: Karoubi, M., Schlichting, M. and Weibel, C. (2020), Grothendieck–Witt groups of some singular schemes. Proc. London Math. Soc.. doi:10.1112/plms.12383, which has been published in final form at https://doi.org/10.1112/plms.12383 | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 25 August 2020 | |||||||||
| Date of first compliant Open Access: | 6 October 2020 | |||||||||
| RIOXX Funder/Project Grant: |
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