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Hermitian K-theory of exact categories

Published online by Cambridge University Press:  13 November 2009

Marco Schlichting
Marco Schlichting
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, LA, USA, mschlich@math.lsu.edu
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Abstract

We study the theory of higher Grothendieck-Witt groups, alias algebraic hermitian K-theory, of symmetric bilinear forms in exact categories, and prove additivity, cofinality, dévissage and localization theorems – preparing the ground for the theory of higher Grothendieck-Witt groups of schemes as developed in [Sch08a] and [Sch08b]. No assumption on the characteristic is being made.

Keywords

hermitian K-theoryQuillen K-theoryQ-constructionexact categories with duality
Type
Research Article
Information
Journal of K-Theory , Volume 5 , Issue 1 , February 2010 , pp. 105 - 165
Copyright
Copyright © ISOPP 2010

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