Théorie algébrique de la croissance
Théorie de Baire -adique
Topological algebras of continuous functions over valued fields
Topologies de corps A-linéaires
Topologische Charakterisierung globaler Körper und algebraischer Funktionenkörper in einer Variablen.
Topology on ordered fields
An ordered field is a field which has a linear order and the order topology by this order. For a subfield of an ordered field, we give characterizations for to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on .
Towards a General Theory of Formally ...-Adic Fields.
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.
Traces and differential operators over Beilinson completion algebras
Transformation de Fourier -adique et produit tensoriel de corps valués
Tree structure on the set of multiplicative semi-norms of Krasner algebras H(D).
Let K be an algebraically closed field, complete for an ultra- metric absolute value, let D be an infinite subset of K and let H(D) be the set of analytic elements on D. We denote by Mult(H(D), UD) the set of semi-norms Phi of the K-vector space H(D) which are continuous with respect to the topology of uniform convergence on D and which satisfy further Phi(f g)=Phi(f) Phi(g) whenever f,g elements of H(D) such that fg element of H(D). This set is provided with the topology of simple convergence....
Two theorems on regularly r-closed fields.