A generalisation of the Cassel-Tate pairing.
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Displaying 1 – 12 of 12
A Hasse principle for two dimensional global fields.
Kazuya Kato (1986)
Journal für die reine und angewandte Mathematik
A note on minimal Galois embeddings of abelian surfaces
Hisao Yoshihara (2011)
Rendiconti del Seminario Matematico della Università di Padova
A note on the unramified Brauer group and purity.
Ofer Gabber (1998)
Manuscripta mathematica
A question on the discriminants of involutions of central division algebras.
R. Sridharan, R. Parimala, V. Suresh (1993)
Mathematische Annalen
A reciprocity law for K2-traces.
John Tate, Shmuel Rosset (1983)
Commentarii mathematici Helvetici
A Unified Kummer-Artin-Schreier Sequence.
William C. Waterhouse (1987)
Mathematische Annalen
Abelian extensions of an absolutely unramified local field with general residue field.
Masato Kurihara (1988)
Inventiones mathematicae
Abelian splitting of division algebras of prime degrees.
Samuel Rosset (1977)
Commentarii mathematici Helvetici
An equicharacteristic analogue of Hesselholt's conjecture on cohomology of Witt vectors
Amit Hogadi, Supriya Pisolkar (2013)
Acta Arithmetica
Let L/K be a finite Galois extension of complete discrete valued fields of characteristic p. Assume that the induced residue field extension is separable. For an integer n ≥ 0, let denote the ring of Witt vectors of length n with coefficients in . We show that the proabelian group 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
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