Tate duality and wild ramification.
The construction of unramified abelian cubic extensions of a quadratic field
The Deuring-Safarevic Formula Revisited.
The dilogarithm and the norm residue symbol
The Galois group of
The Hilbert symbol for tamely ramified Abelian extension of 2-adic number fields.
The local lifting problem for actions of finite groups on curves
Let be an algebraically closed field of characteristic . We study obstructions to lifting to characteristic the faithful continuous action of a finite group on . To each such a theorem of Katz and Gabber associates an action of on a smooth projective curve over . We say that the KGB obstruction of vanishes if acts on a smooth projective curve in characteristic in such a way that and have the same genus for all subgroups . We determine for which the KGB obstruction...
The multiplicative group of a local skew field as Galois group.
Théorie de Kummer-Artin-Schreier et applications
Towards explicit description of ramification filtration in the 2-dimensional case
The principal result of this paper is an explicit description of the structure of ramification subgroups of the Galois group of 2-dimensional local field modulo its subgroup of commutators of order . This result plays a clue role in the author’s proof of an analogue of the Grothendieck Conjecture for higher dimensional local fields, cf. Proc. Steklov Math. Institute, vol. 241, 2003, pp. 2-34.