Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve.
Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.
Elementary Albeian p-Extensions of Algebraic Function Fields.
Elliptic curves and continued fractions.
Elliptic curves over function fields with a large set of integral points
We construct isotrivial and non-isotrivial elliptic curves over with an arbitrarily large set of separable integral points. As an application of this construction, we prove that there are isotrivial log-general type varieties over with a Zariski dense set of separable integral points. This provides a counterexample to a natural translation of the Lang-Vojta conjecture to the function field setting. We also show that our main result provides examples of elliptic curves with an explicit and arbitrarily...
Elliptische Funktionenkörper mit schlechter Reduktion.
Erweiterung des Abel'schen Satzes von der Form der algebraisch-logarithmisch ausdrückbaren Integrale algebraischer Functionen
Etale coverings of a Mumford curve
Let the field be complete w.r.t. a non-archimedean valuation. Let be a Mumford curve, i.e. the irreducible components of the stable reduction of have genus 0. The abelian etale coverings of are constructed using the analytic uniformization and the theta-functions on . For a local field one rediscovers . Frey’s description of the maximal abelian unramified extension of the field of rational functions of .
Explicit construction of a global uniformization for an algebraic correspondence.