Théorie du corps de classes de Kato et revêtements abéliens de surfaces. (French) Zbl 0524.12008


11S70 \(K\)-theory of local fields
13K05 Witt vectors and related rings (MSC2000)
11S31 Class field theory; \(p\)-adic formal groups
14H30 Coverings of curves, fundamental group
14J20 Arithmetic ground fields for surfaces or higher-dimensional varieties


Zbl 0302.14005
Full Text: DOI Numdam EuDML


[1] K. KATO, Residue homomorphisms in Milnor K-theory, à paraître dans “Advanced studies in pure mathematics”, vol. 2, 1981. · Zbl 0586.12011
[2] J. MILNOR, Algebraic K-theory and quadratric forms, Invent. Math., 9 (1970), 318-344. · Zbl 0199.55501
[3] A.W. PARSHIN, Corps de classes et K-théorie algébrique, Ouspekhi Math. Nauk, T. 30 vol. 1 (1975) (181), 253-254, traduit en français dans Matematika, III. · Zbl 0302.14005
[4] J.P. SERRE, Corps locaux, Publications de l’Institut de Mathématiques de l’Université de Nancago, VIII, Hermann, 1968.
[5] J.P. SERRE, Groupes algébriques et corps de classes, Paris, Hermann, 1959. · Zbl 0097.35604
[6] J.P. SERRE, Sur LES corps locaux à corps résiduel algébriquement clos, Publ. Soc. Math. de France, 1961. · Zbl 0166.31103
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