A characterization of locally compact fields of zero characteristic
A constructive Approach to Noether's Problem.
A Hauptsatz of L. E. Dickson and Artin-Schreier extensions.
A really elementary proof of real Lüroth's theorem.
Classical Lüroth theorem states that every subfield K of K(t), where t is a transcendental element over K, such that K strictly contains K, must be K = K(h(t)), for some non constant element h(t) in K(t). Therefore, K is K-isomorphic to K(t). This result can be proved with elementary algebraic techniques, and therefore it is usually included in basic courses on field theory or algebraic curves. In this paper we study the validity of this result under weaker assumptions: namely, if K is a subfield...
A representation theorem for a class of rigid analytic functions
Let be a prime number, the field of -adic numbers and the completion of the algebraic closure of . In this paper we obtain a representation theorem for rigid analytic functions on which are equivariant with respect to the Galois group , where is a lipschitzian element of and denotes the -neighborhood of the -orbit of .
Algebraic independence of polynomials
An Analogue of Artin-Schreier Theorem.
Automorphism Groups of Fields.
Conjecture de Schanuel sur la transcendance d'exponentielles
Double coverings of rational surface.
Errata to the paper "A characterization of locally compact fields of zero characteristic" Fundamenta Mathematicae 76 (1972), pp. 149-155
Estensioni di una struttura paracomplessa su un corpo algebricamente chiuso ad un suo ampliamento trascendente semplice
Euclidean function fields.
Euklidische Körper und euklidische Hüllen von Körpern.
Extending automorphisms to the rational fractions field.
We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields with an...
Extension of places and contraction properties for function fields over [...]-adically closed fields.
Factorisation de Ritt pour les polynômes exponentiels formels
Field Composites with a Bounded Purely Inseparable Factor.
Fractions rationnelles invariantes
Genre topologique de corps valués.