×

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


MSC:

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

Citations:

Zbl 0302.14005
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML

References:

[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.