A characterization of locally compact fields II
A characterization of locally compact fields, III
A characterization of locally compact fields of zero characteristic
A note on Abhyankar-Moh's approximate roots of polynomials.
Algèbre de Banach des éléments analytiques sur un corps valué non archimédien
An example of a locally unbounded complete extension of the p-adic number field
Conjugacy classes of series in positive characteristic and Witt vectors.
Let be the algebraic closure of and be the local field of formal power series with coefficients in . The aim of this paper is the description of the set of conjugacy classes of series of order for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic which are invertible and of finite order for the composition law. In order to investigate Oort’s conjecture, I give a description of conjugacy classes of series by means...
Corrections to the papers "An example of a locally unbounded complete extension of the p-adic number field'' and "On topological fields'' (Colloquium Mathematicum 30 (1974), p. 105--108, and 29 (1974), p. 119--146)
Différentielles et congruences
Équations différentielles -adiques. Croissance des solutions, factorisation, indice
Errata to the paper "A characterization of locally compact fields of zero characteristic" Fundamenta Mathematicae 76 (1972), pp. 149-155
Erratum to "Locally unbounded topological fields with topological nilpotents" (Fund. Math. 173 (2002), 21-32)
Factorisation d'un opérateur différentiel
Factorisation d'un opérateur différentiel. Applications
Fields with analytic structure
Inégalités de Cauchy et théorème d'unicité
Le point de vue complexiforme
Lemme de Hensel pour les opérateurs différentiels
Locally unbounded topological fields with topological nilpotents
We construct some locally unbounded topological fields having topologically nilpotent elements; this answers a question of Heine. The underlying fields are subfields of fields of formal power series. In particular, we get a locally unbounded topological field for which the set of topologically nilpotent elements is an open additive subgroup. We also exhibit a complete locally unbounded topological field which is a topological extension of the field of p-adic numbers; this topological field is a...
Model theoretic methods in the theory of topological fields.