4 papers
On the discriminant of elliptic curves with non-trivial torsion
I. Garcia-Selfa, Jose M. Tornero
For those elliptic curves defined over the rational with non--trivial torsion subgroup, we find a tight relationship between the torsion subgroup itself and a Galois group naturall…
A complete diophantine characterization of the rational torsion of an elliptic curve
Irene Garcia-Selfa, Jose M. Tornero
We give a complete characterization for the rational torsion of an elliptic curve in terms of the (non-)existence of integral solutions of a system of diophantine equations.
On the singular braid monoid of an orientable surface
Jeronimo Diaz-Cantos, Juan Gonzalez-Meneses, Jose M. Tornero
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
On Kummer extensions of the power series field
J. M. Tornero
In this paper we study the Kummer extensions of the power series field , where is an algebraically closed field of arbitrary characteristic.