A generalisation of the Cassel-Tate pairing.
A Hasse principle for two dimensional global fields.
A note on minimal Galois embeddings of abelian surfaces
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
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.
Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.