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- W1567125841 abstract "Let X be a noetherian scheme of finite Krull dimension, having 2 invertible in its ring of regular functions, an ample family of line bundles, and a global bound on the virtual mod-2 cohomological dimensions of its residue fields. We prove that the comparison map from the hermitian K-theory of X to the homotopy fixed points of K-theory under the natural Z/2-action is a 2-adic equivalence in general, and an integral equivalence when X has no formally real residue field. We also show that the comparison map between the higher Grothendieck-Witt (hermitian K-) theory of X and its etale version is an isomorphism on homotopy groups in the same range as for the Quillen-Lichtenbaum conjecture in K-theory. Applications compute higher Grothendieck-Witt groups of complex algebraic varieties and rings of 2-integers in number fields, and hence values of Dedekind zeta-functions." @default.
- W1567125841 created "2016-06-24" @default.
- W1567125841 creator A5081319611 @default.
- W1567125841 date "2010-11-23" @default.
- W1567125841 modified "2023-09-27" @default.
- W1567125841 title "The homotopy limit problem and (etale) hermitian K-theory" @default.
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