Théorie du corps de classes de Kato et revêtements abéliens de surfaces

DOI10.5802/aif.929zbMath0524.12008OpenAlexW124305160MaRDI QIDQ585282

Jean-Luc Brylinski

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_3_23_0

zbMATH Keywords

Witt vectorArtin conductorAbelian coveringlocal class field theoryclass field theory of Katoclass field theory of Suslinreciprocity morphismWitt-Artin-Schreier coveringWitt-Artin-Schreier extension of local field

Mathematics Subject Classification ID

Related Items (21)

Ramification groups in Artin-Schreier-Witt extensions ⋮ RECIPROCITY SHEAVES AND THEIR RAMIFICATION FILTRATIONS ⋮ Rank one solvable \(p\)-adic differential equations and finite Abelian characters via Lubin-Tate groups ⋮ Wild ramification and \(K(\pi , 1)\) spaces ⋮ Equality of two non-logarithmic ramification filtrations of abelianized Galois group in positive characteristic ⋮ The characteristic class and ramification of an \(\ell\)-adic étale sheaf ⋮ On ramification in transcendental extensions of local fields ⋮ Characteristic cycle of a rank one sheaf and ramification theory ⋮ REFINED SWAN CONDUCTORS OF ONE-DIMENSIONAL GALOIS REPRESENTATIONS ⋮ Ramification theory of reciprocity sheaves. I: Zariski-Nagata purity ⋮ Modulus of a rational map into a commutative algebraic group ⋮ Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over \(\mathbb F_qt\) ⋮ Semiglobal models of extensions of two-dimensional local fields ⋮ Local Fourier transform and epsilon factors ⋮ Explicit constructions and the arithmetic of local number fields ⋮ Iversen's formula for the second Chern classes of regular surfaces in any characteristic ⋮ Conjugacy classes of series in positive characteristic and Witt vectors ⋮ The wild McKay correspondence for cyclic groups of prime power order ⋮ Monodromy of Airy and Kloosterman sheaves ⋮ Blow-ups and class field theory for curves ⋮ Ramification of higher local fields, approaches and questions

Cites Work

• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Sur les corps locaux à corps résiduel algébriquement clos
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