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Witt kernels of quadratic forms for purely inseparable multiquadratic extensions in characteristic 2

Author(s): Ahmed Laghribi
Journal: Proc. Amer. Math. Soc. 134 (2006), 2481-2486.
MSC (2000): Primary 11E04, 11E81
Posted: April 13, 2006
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Abstract: The aim of this paper is to give a complete answer to the question of hyperbolicity of nonsingular quadratic forms over purely inseparable multiquadratic extensions in characteristic $ 2$. This completes partial computations of Mammone and Moresi.

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Additional Information:

Ahmed Laghribi
Affiliation: Laboratoire de Mathématiques de Lens EA 2462, Faculté des Sciences Jean Perrin, rue Jean Souvraz - SP18, F-62307 Lens, France
Email: laghribi@euler.univ-artois.fr

DOI: 10.1090/S0002-9939-06-08649-7
PII: S 0002-9939(06)08649-7
Keywords: Nonsingular quadratic forms, Witt groups, Witt kernels, differential forms.
Received by editor(s): July 26, 2004
Received by editor(s) in revised form: January 7, 2005
Posted: April 13, 2006
Additional Notes: The author was supported by the European research network HPRN-CT-2002-00287 ``Algebraic $K$-Theory, Linear Algebraic Groups and Related Structures''.
Communicated by: Lance W. Small
Copyright of article: Copyright 2006, American Mathematical Society

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