Modular invariant and good reduction of elliptic curves.
Modulární křivky a Fermatova věta
Modules over the 4-dimensional Sklyanin algebra
Monodromy of a class of logarithmic connections on an elliptic curve.
Mordell's conjecture over function fields.
Mordell-Weil rank of the jacobians of the curves defined by
Mordell-Weil ranks of families of elliptic curves associated to Pythagorean triples
We study the family of elliptic curves y² = x(x-a²)(x-b²) parametrized by Pythagorean triples (a,b,c). We prove that for a generic triple the lower bound of the rank of the Mordell-Weil group over ℚ is 1, and for some explicitly given infinite family the rank is 2. To each family we attach an elliptic surface fibered over the projective line. We show that the lower bounds for the rank are optimal, in the sense that for each generic fiber of such an elliptic surface its corresponding Mordell-Weil...
Multiplikative Untergruppen in abeloiden Mannigfaltigkeiten.
Neron-Severi group for nonalgebraic elliptic surfaces I. Elliptic bundle case.
Non standard arithmetic and application to height functions
Noncommutative del Pezzo surfaces and Calabi-Yau algebras
The hypersurface in with an isolated quasi-homogeneous elliptic singularity of type , has a natural Poisson structure. We show that the family of del Pezzo surfaces of the corresponding type provides a semiuniversal Poisson deformation of that Poisson structure. We also construct a deformation-quantization of the coordinate ring of such a del Pezzo surface. To this end, we first deform the polynomial algebra to a noncommutative algebra with generators and the following 3 relations labelled...
Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture
Non-conservative function fields of genus (p + 1) /2.
Notes p-adiques sur les courbes elliptiques.
On a characterization of elliptic-hyperelliptic curves.
On a characterization of Shimura's elliptic curve over ℚ(√37)
On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras.
On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I
On certain Galois representations related to the modular curve
On certain twisted families of elliptic curves of rank 8.