The Witt group of a smooth complex surface
In Math. Ann. 277, 453-468 (1987; see the preceding review) [see also the correction thereof, ibid. 280, No.4, 697-698 (1988)], the author established an exact sequence \[ 0\quad \to \quad W(X)\quad \to \quad W(K)\quad \to \coprod_{co\dim (x)=1}W(k(x)), \] where X is a smooth surface over a field k (char(k)\(\neq 2)\), K is the function field, k(x) is the residue field at \(x\in X\) and \(W(\quad)\) is the Witt ring functor. This sequence is used to determine W(X), where X is a smooth surface over \({\mathbb{C}}\). Relations with K-theory and étale cohomology are discussed.
scientific article; zbMATH DE number 4043984
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