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.