About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces
type: Item
instance of: scholarly article
title: About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces
zbMATH Open document ID: 0827.13010
DOI: 10.1007/BF02571907
author: Piotr Jaworski
published in: Mathematische Zeitschrift
publication date: 1995-12-11T00:00:00Z
full work available at URL: https://eudml.org/doc/174732
review text: Let \(k\) be a field of characteristic not equal to 2. We consider a quasihomogeneous algebraic surface \(V\) over \(k\), which is of degree two over the plane. The aim of this paper is to describe the Witt ring of the field of quotients of formal power series at \(0 \in V\) in terms of the second residue homomorphisms associated to the algebroid curves on \(V\) and to construct the exact sequence of the Milnor-Scharlau type for this ring.
reviewed by: Piotr Jaworski
Mathematics Subject Classification ID: 13F25
Mathematics Subject Classification ID: 14H05
Mathematics Subject Classification ID: 13K05
zbMATH DE Number: 778948
zbMATH Keywords: algebroid curves on quasihomogeneous algebraic surface
zbMATH Keywords: Witt ring
zbMATH Keywords: formal power series
MaRDI profile type: Publication
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Wikidata QID: Q126271010
description: scientific article; zbMATH DE number 778948