On a lifting problem for principal Dedekind domains
On a problem of Dvornicich and Zannier
On algebraic points on curves
On branches at infinity of a pencil of polynomials in two complex variables
Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
On Chebyshev polynomials and maximal curves
On dihedral algebraic function fields
On plane curves with one place at infinity.
On Quadratic forms isotropic over the function field of a comic.
On ramification and genus of recursive towers.
On ruled fields
Some results and problems that arise in connection with the foundations of the theory of ruled and rational field extensions are discussed.
On the Action of the Frobenius Automorphism on the Pro-l Fundamental Group.
On the Cohen-Macaulayness of the associated graded ring of certain monomial curves.
On the Construction of Galois Extensions of Function Fields and Number Fields.
On the Converse of Abel's Theorem in Characteristic p.
On the Holomorphy on Certain Non-Abelian L-Series.
On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions
In this paper, we show that if and are algebraic real hypersurfaces in (possibly different) complex spaces of dimension at least two and if is a holomorphic mapping defined near a neighborhood of so that , then is also algebraic. Our proof is based on a careful analysis on the invariant varieties and reduces to the consideration of many cases. After a slight modification, the argument is also used to prove a reflection principle, which allows our main result to be stated for mappings...
On valued function fields II. Regular functions and elements with the uniqueness property.
Partialbruchzerlegung rationaler Functionen eines algebraischen Gebildes zweier Veränderlichen
Primitives des fonctions élémentaires
Propriétés de descente des variétés à fibré cotangent ample
On généralise ici un théorème de Grauert-Manin pour les courbes (problème de Mordell pour les corps de fonctions). Soit un corps de fonctions algébriques sur un corps algébriquement clos de caractéristique 0, une variété propre et lisse sur , dont le fibré cotangent est ample; si l’ensemble de ses points rationnels est Zariski-dense, la variété se redescend sur .