Semi-normes multiplicatives sur une algèbre de Banach ultramétrique
Small Galois groups that encode valuations
Some elementary remarks about -local fields
Some remarks on ordered fields
Some results on the degree of imperfection of complete valued fields.
Spectre maximal d'une algèbre de Krasner
Spectres d’algèbres de Banach -adiques
Structure de Frobénius des équations différentielles -adiques
Structure de Frobenius faible pour les équations différentielles du premier ordre
Subfields of henselian valued fields
Let (K,v) be a henselian valued field of arbitrary rank which is not separably closed. Let k be a subfield of K of finite codimension and be the valuation obtained by restricting v to k. We give some necessary and sufficient conditions for to be henselian. In particular, it is shown that if k is dense in its henselization, then is henselian. We deduce some well known results proved in this direction through other considerations.
Sui gruppi e corpi ordinati
Sur la semi-norme spectrale supérieure des algèbres de Banach ultramétrique.
Synthèse harmonique ultramétrique. Théorie spectrale en analyse ultramétrique
Systèmes d'équations analytiques