Open Access
December 2006 Une note sur les formes quadratiques voisines en caractéristique 2
Ahmed Laghribi, Pasquale Mammone
Bull. Belg. Math. Soc. Simon Stevin 13(4): 733-738 (December 2006). DOI: 10.36045/bbms/1168957348

Abstract

The aim of this note is to discuss in characteristic $2$ some conditions under which an anisotropic quadratic form is a Pfister neighbor when its anisotropic part over its own function field is defined over the base field. In this sense, we give a result which reduces the situation to the characterization of Pfister neighbors having a $2$-dimensional nonsingular part.

Citation

Download Citation

Ahmed Laghribi. Pasquale Mammone. "Une note sur les formes quadratiques voisines en caractéristique 2." Bull. Belg. Math. Soc. Simon Stevin 13 (4) 733 - 738, December 2006. https://doi.org/10.36045/bbms/1168957348

Information

Published: December 2006
First available in Project Euclid: 16 January 2007

zbMATH: 1214.11045
MathSciNet: MR2300628
Digital Object Identifier: 10.36045/bbms/1168957348

Subjects:
Primary: 11E04 , 11E81

Keywords: Corps de fonctions d'une forme quadratique , Formes de Pfister , Formes quadratiques , Voisines de Pfister

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.13 • No. 4 • December 2006
Back to Top