Geodesic
The Hopf condition for bilinear forms over arbitrary fields
Daniel Dugger1 ; Daniel C. Isaksen2
1 Department of Mathematics, University of Oregon, Eugene, OR 97403, United States
2 Department of Mathematics, Wayne State University, Detroit, MI 48202, United States
Annals of mathematics, Tome 165 (2007) no. 3, pp. 943-964.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We settle an old question about the existence of certain ‘sums-of-squares’ formulas over a field $F$, related to the composition problem for quadratic forms. A classical theorem says that if such a formula exists over a field of characteristic $0$, then certain binomial coefficients must vanish. We prove that this result also holds over fields of characteristic $p>2$.
DOI : 10.4007/annals.2007.165.943

Daniel Dugger 1 ; Daniel C. Isaksen 2

1 Department of Mathematics, University of Oregon, Eugene, OR 97403, United States
2 Department of Mathematics, Wayne State University, Detroit, MI 48202, United States 
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Daniel Dugger; Daniel C. Isaksen. The Hopf condition for bilinear forms over arbitrary fields. Annals of mathematics, Tome 165 (2007) no. 3, pp. 943-964. doi : 10.4007/annals.2007.165.943. http://geodesic.mathdoc.fr/articles/10.4007/annals.2007.165.943/

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