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The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes
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Schlichting, Marco (2010) The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes. Inventiones Mathematicae, Vol.179 (No.2). pp. 349-433. doi:10.1007/s00222-009-0219-1 ISSN 0020-9910.
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Official URL: http://dx.doi.org/10.1007/s00222-009-0219-1
Abstract
We prove localization and Zariski-Mayer-Vietoris for higher Gro-thendieck-Witt groups, alias hermitian K-groups, of schemes admitting an ample family of line-bundles. No assumption on the characteristic is needed, and our schemes can be singular. Along the way, we prove Additivity, Fibration and Approximation theorems for the hermitian K-theory of exact categories with weak equivalences and duality.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Inventiones Mathematicae | ||||
| Publisher: | Springer | ||||
| ISSN: | 0020-9910 | ||||
| Official Date: | February 2010 | ||||
| Dates: |
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| Volume: | Vol.179 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 85 | ||||
| Page Range: | pp. 349-433 | ||||
| DOI: | 10.1007/s00222-009-0219-1 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | NSF | ||||
| Grant number: | DMS-0604583 |
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