19 citations · 67 across the 23 of their papers we have counts for
7 papers · 1 filter
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…
Thue equations and torsion groups of elliptic curves
Irene Garcia-Selfa, Jose M. Tornero
A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equation…
Searching for simultaneous arithmetic progressions on elliptic curves
Irene Garcia-Selfa, Jose M. Tornero
We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is…
Some geometric aspects of Puiseux surfaces
Jose M. Tornero
The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whos…
Equimultiple locus of embedded algebroid surfaces and blowing--up in arbitrary characteristic
R. Piedra, Jose M. Tornero
This paper extends previous results of the authors, concerning the behaviour of the equimultiple locus of algebroid surfaces under blowing--up, to arbitrary characteristic.
Equimultiple locus of embedded algebroid surfaces and blowing--up in characteristic zero
R. Piedra, Jose M. Tornero
The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution process, both classical and modern. In this paper we explore how it changes by blo…