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.
Forms of Hopf algebras and Galois theory
Fractions rationnelles invariantes
Frattini Covers and Projective Groups Without the Extension Property.
Frattini-Einbettungsprobleme über Hilbertkörpern.
Freeness, linear disjointness, and implicitization -- a classical approach.
Frobenius modules and Galois representations
Frobenius modules are difference modules with respect to a Frobenius operator. Here we show that over non-archimedean complete differential fields Frobenius modules define differential modules with the same Picard-Vessiot ring and the same Galois group schemes up to extension by constants. Moreover, these Frobenius modules are classified by unramified Galois representations over the base field. This leads among others to the solution of the inverse differential Galois problem for -adic differential...
From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).