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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

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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:
DateEvent
February 2010Published
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

Data sourced from Thomson Reuters' Web of Knowledge

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