On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field
type: Item
instance of: scholarly article
title: On the injectivity of the map of the Witt group of a scheme into the Witt group of its function field
zbMATH Open document ID: 0641.14003
DOI: 10.1007/BF01458326
author: Fernando Fernández-Carmena
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164260
review text: Let X be a smooth variety over the field k (char(k)\(\neq 2)\) with function field K and residue field k(x) at \(x\in X\). If W(X) is the Witt ring of X and W(F) is the Witt ring of the field F, then there is a sequence \[ 0\quad \to \quad W(X)\quad \to \quad W(K)\quad \to \coprod_{co\dim (x)- 1}W(k(x)) \] which is exact at W(K). If X is a surface then the sequence is also exact at W(X). A correction of this paper consisting of a part of the text appeared in Math. 280, No.4, 697-698 (1988).
reviewed by: Niels Schwartz
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 14J99
Mathematics Subject Classification ID: 11E16
Mathematics Subject Classification ID: 14A15
Mathematics Subject Classification ID: 14F05
zbMATH DE Number: 4043983
MaRDI profile type: Publication
Wikidata QID: Q123011929
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description: scientific article; zbMATH DE number 4043983