The excellence of function fields of conics

Laghribi, Ahmed; Mukhija, Diksha

doi:10.1090/proc/16690

The excellence of function fields of conics
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by Ahmed Laghribi and Diksha Mukhija;

Proc. Amer. Math. Soc. 152 (2024), 1915-1923

DOI: https://doi.org/10.1090/proc/16690

Published electronically: March 14, 2024

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Abstract:

Let $F$ be a field of characteristic $2$. Our aim in this paper is to prove that the extension given by the function field of a singular conic is excellent for bilinear forms. We also give examples showing that in general this extension is not excellent for quadratic forms of arbitrary dimension.

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