Euklidische Körper und euklidische Hüllen von Körpern.
Explicit solutions to embedding problems associated to orthogonal Galois representations.
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.
Extensions having reduced subextensions.
Extensions purement inséparables d'exposant non borné
Dans [Swe], Sweedler a caractérisé les extensions purement inséparables d’exposant fini qui sont produit tensoriel d’extensions simples. En vue d’étendre ce résultat aux extensions d’exposants non bornés, L. Kime dans [Kim] propose les extensions comme généralisation d’extensions simples. Dans ce travail, on propose d’autres généralisations naturelles. Ceci nous a permis de décrire explicitement toutes les extensions purement inséparables lorsque le degré d’imperfection de est . Dans [Dev2]...
Extensions quaternioniennes d’un corps de caractéristique différente de
Factoring polynomials in finite fields: an application of Lang-Weil to a problem in graph theory.
Factorisation de Ritt pour les polynômes exponentiels formels
Factorisations explicites de g(y) - h(z)
Familles de revêtements de la droite projective
Field Composites with a Bounded Purely Inseparable Factor.
Fields: Algebraically closed and others.
Fields containing values of algebraic functions
Fields containing values of algebraic functions II (On a conjecture of Schinzel)
Fields with Hanselian Valuation Rings.
Finite Separable Field Extensions With Prescribed Extensions of Valuations. II
Finitely generated pro-p-groups as Galois groups of maximal p-extensions of function fields over Qp.
Formally real fields, pythagorean fields, C-fields and W-groups.
Formally Real Fields with a Simple Description of the Absolute Galois Group.