Rapport sur le prolongement analytique dans les corps values complets par la méthode des éléments analytiques quasi-connexes
Real commutative algebra (I). Places.
Remarks on the Composite G-valuations and their Hypermetric Properties
Residual fields in valuation theory.
Residual transcedental extensions of a valuation.
Schnitt und Verbindung in projektiven Hjelmsleveschen Räumen.
Some elementary remarks about -local fields
The geometry of the set of characters iduced by valuations.
The intersection of valuation rings
The norm of uniform convergence on the -algebraic maximal spectrum of an algebra over a non-archimedean valuation field
Théorie de Baire -adique
Topologische Charakterisierung globaler Körper und algebraischer Funktionenkörper in einer Variablen.
Une classe d'ensembles analytiques à plusieurs dimensions
Une propriété de spécialisation continue
Une remarque sur le théorème de Puiseux.
Unit fractions in fields
Valuation bases for extensions of valued vector spaces.
Valuation Faible
Valuation Theory. Part I
In the article we introduce a valuation function over a field [1]. Ring of non negative elements and its ideal of positive elements have been also defined.
Valuations and asymptotic invariants for sequences of ideals
We study asymptotic jumping numbers for graded sequences of ideals, and show that every such invariant is computed by a suitable real valuation of the function field. We conjecture that every valuation that computes an asymptotic jumping number is necessarily quasi-monomial. This conjecture holds in dimension two. In general, we reduce it to the case of affine space and to graded sequences of valuation ideals. Along the way, we study the structure of a suitable valuation space.