Journal of the Ramanujan Mathematical Society

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Zeros and Norm Groups of Quadratic Forms over Function Fields in One Variable over a Local Non-Dyadic Field


Affiliations
1 Equipe de Mathematiques, UMR 6623 du CNRS Universite de Franche-Comte 16 Route de Gray F-25030 Besancon Cedex, France
2 University of Gent, Department of Pure Mathematics and Computer Algebra, Galglaan 2 B-9000 Gent, Belgium
     

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Let F be a non-formally real field. The u-invariant of F is by definition u(F) := sup{dimφ | φ an anisotropic quadratic form over K}.


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  • Zeros and Norm Groups of Quadratic Forms over Function Fields in One Variable over a Local Non-Dyadic Field

Abstract Views: 233  |  PDF Views: 0

Authors

Detlev W. Hoffmann
Equipe de Mathematiques, UMR 6623 du CNRS Universite de Franche-Comte 16 Route de Gray F-25030 Besancon Cedex, France
Jan Van Geel
University of Gent, Department of Pure Mathematics and Computer Algebra, Galglaan 2 B-9000 Gent, Belgium

Abstract


Let F be a non-formally real field. The u-invariant of F is by definition u(F) := sup{dimφ | φ an anisotropic quadratic form over K}.