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A Gersten-Witt complex for hermitian Witt groups of coherent algebras over schemes II: Involution of the second kind
Published online by Cambridge University Press: 04 September 2008
Abstract
Let X be a regular noetherian scheme of finite Krull dimension with involution σ and an Azumaya algebra over X with involution τ of the second kind with respect to σ. We construct a hermitian and a skew-hermitian Gersten-Witt complex for (, τ) and show that these complexes are exact if X = Spec R is the spectrum of a regular semilocal ring R of geometric type, such that R is a quadratic étale extension of the fixed ring of σ.
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- Copyright © ISOPP 2009
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