Density of rational points on an algebraic group. (Densité des points rationnels sur un groupe algébrique.)
Density of rational points on an algebraic group. Errata. (Densité des points rationnels sur un groupe algébrique (errata).)
Density of rational points on cyclic covers of
We obtain upper bound for the density of rational points on the cyclic covers of . As our estimate tends to the conjectural bound of Serre.
Density of rational points on elliptic fibrations
Density of rational points on elliptic fibrations-II
Density of rational points on elliptic surfaces
Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen.
Détermination explicite des courbes elliptiques ayant un groupe de torsion non trivial sur des corps de nombres quadratiques sur Q.
Die arithmetische Struktur der rationalen Punkte auf Kurven vom Geschlecht Eins
Diophantine approximation on algebraic varieties
We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.
Dividing rational points on abelian varieties of CM-type
Division points on semi-abelian varieties.
Double fibres and double covers: paucity of rational points
Drinfeld modules of rank 1 and algebraic curves with many rational points. II
Dyson's lemma and a theorem of Esnault and Viehweg.
Effective diophantine approximation on , II
Effective equidistribution of S-integral points on symmetric varieties
Let be a global field of characteristic not 2. Let be a symmetric variety defined over and a finite set of places of . We obtain counting and equidistribution results for the S-integral points of . Our results are effective when is a number field.
Eigensections on Kuga families of abelian varieties and finiteness of their Mordell-Weil groups.
Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve.
Elliptic Curves: Diophantine Torsion Solutions and Singular j-Invariants.