Brylinski, Jean-Luc Théorie du corps de classes de Kato et revêtements abéliens de surfaces. (French) Zbl 0524.12008 Ann. Inst. Fourier 33, No. 3, 23-38 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 20 Documents 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 Keywords:class field theory of Kato; class field theory of Suslin; Abelian covering; reciprocity morphism; Witt-Artin-Schreier extension of local field; local class field theory; Witt vector; Witt-Artin-Schreier covering; Artin conductor Citations:Zbl 0302.14005 PDF BibTeX XML Cite \textit{J.-L. Brylinski}, Ann. Inst. Fourier 33, No. 3, 23--38 (1983; Zbl 0524.12008) Full Text: DOI Numdam EuDML References: [1] [1] , Residue homomorphisms in Milnor K-theory, à paraître dans “Advanced studies in pure mathematics”, vol. 2, 1981. · Zbl 0586.12011 [2] [2] , Algebraic K-theory and quadratric forms, Invent. Math., 9 (1970), 318-344. · Zbl 0199.55501 [3] [3] , 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] [4] et , Eine Charakterisierung der additiven [5] [5] , Groupes algébriques et corps de classes, Paris, Hermann, 1959. · Zbl 0097.35604 [6] [6] , 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.