Geodesic
Stiefel-Whitney Classes of a Symmetric Bilinear Form — A Formula of Serre
Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 218-222

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DOI

Let K be a field of characteristic different from two. Let L be a finite separable extension of K. If is the separable closure of K, we have a continuous homomorphism π : Ga(/K) → ∑n(n - [L : K]). We give a very short proof of Serre's formula which evaluates the Hasse-Witt invariant of a symmetric bilinear form, transferred from L, in terms of the topological Stiefel-Whitney classes of IT.
DOI : 10.4153/CMB-1985-025-2
Mots-clés : 10C05, 12G05, 55R40 
Snaith, Victor. Stiefel-Whitney Classes of a Symmetric Bilinear Form — A Formula of Serre. Canadian mathematical bulletin, Tome 28 (1985) no. 2, pp. 218-222. doi: 10.4153/CMB-1985-025-2
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     author = {Snaith, Victor},
     title = {Stiefel-Whitney {Classes} of a {Symmetric} {Bilinear} {Form} {\textemdash} {A} {Formula} of {Serre}},
     journal = {Canadian mathematical bulletin},
     pages = {218--222},
     year = {1985},
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     number = {2},
     doi = {10.4153/CMB-1985-025-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-025-2/}
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