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.
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The author was partially supported by NSF grant DMS-0604583.
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Schlichting, M. The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes. Invent. math. 179, 349–433 (2010). https://doi.org/10.1007/s00222-009-0219-1
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DOI: https://doi.org/10.1007/s00222-009-0219-1