Formes quadratiques et extensions en caractéristique 2. (Quadratic forms and extensions of charactéristic two)

DOI10.5802/aif.1009zbMath0539.10018OpenAlexW2330877005MaRDI QIDQ5966232

Anne-Marie Bergé, Jacques Martinet

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_2_57_0

zbMATH Keywords

quadratic formdiscriminantArf invariantquadratic extensionquadratic spacereduction of equationsdirect sum of hyperbolic planesplane with trivial Clifford invariant

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Iwasawa theory (11R23) General binary quadratic forms (11E16)

Related Items

Poncelet’s theorem for conics in any position and any characteristic ⋮ Local Galois representations of Swan conductor one ⋮ Les discriminants quadratiques et la congruence de Stickelberger ⋮ Anne-Marie Bergé -- in memoriam (1939--2008) ⋮ Pencils of quadratic forms over finite fields ⋮ The second trace form of a central simple algebra of degree 4 of characteristic 2.

Cites Work

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• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Calculation of discriminants of high degree equations
• An analog to the discriminant over fields of characteristic two
• Formes quadratiques, groupes orthogonaux et algèbres de Clifford
• Symmetric bilinear forms and quadratic forms
• Discriminants in characteristic two
• Remarques sur la forme trace
• Bestimmung des Zentrums der Cliffordschen Algebren einer quadratischen Form über einem Körper der Charakteristik 2.