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Let L/K be a finite Galois extension of complete discrete valued fields of characteristic p. Assume that the induced residue field extension $k_{L} / k_{K}$ is separable. For an integer n ≥ 0, let $W_{n} (_{L})$ denote the ring of Witt vectors of length n with coefficients in $_{L}$ . We show that the proabelian group ${H^{1} (G, W_{n} (_{L}))}_{n \in ℕ}$ is zero. This is an equicharacteristic analogue of Hesselholt’s conjecture, which was proved before when the discrete valued fields are of mixed characteristic.

An extension of Aritn-Verdier duality to non-torsion sheaves.

Christopher Deninger (1986)

Journal für die reine und angewandte Mathematik

Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.

Jean-Louis Colliot-Thélène (1986)

Journal für die reine und angewandte Mathematik

Berichtigung zu den Arbeiten "Einbettungsprobleme und Galoisstruktur lokaler Körper" und "Abelsche p-Erweiterungen p-adischer Zahlkörper, über denen jedes Einbettungsproblem lösbar ist".

V. Diekert, U. Jannsen, K. Winnberg (1982)

Journal für die reine und angewandte Mathematik

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A generalisation of the Cassel-Tate pairing.

A Hasse principle for two dimensional global fields.

A note on the unramified Brauer group and purity.

A question on the discriminants of involutions of central division algebras.

A reciprocity law for K2-traces.

A Unified Kummer-Artin-Schreier Sequence.

Abelian extensions of an absolutely unramified local field with general residue field.

Abelian splitting of division algebras of prime degrees.

An equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors

An extension of Aritn-Verdier duality to non-torsion sheaves.

Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.

Berichtigung zu den Arbeiten "Einbettungsprobleme und Galoisstruktur lokaler Körper" und "Abelsche p-Erweiterungen p-adischer Zahlkörper, über denen jedes Einbettungsproblem lösbar ist".

Biquaternion algebras and quartic extensions

Central and genus class fields and the Hasse norm theorem

Cohomologia Local De Las Extensiones Ciclicas De Grado Primo.

Cohomological approaches to $S K_{1}$ and $S K_{2}$ of central simple algebras.

Cohomologie de Galois et cohomologie des variétés algébriques réelles ; applications aux surfaces rationnelles

Cohomologie galoisienne : progrès et problèmes

Compatibilité de la suite exacte de Poitou-Tate aux mesures de Haar

Composition of norm-type forms.

Currently displaying 1 – 20 of 109