An Explicit Manin-Dem'janenko theorem in elliptic curves
Number Theory
2016-09-16 v1
Abstract
Let C be a curve of genus at least 2 imbedded in a product of elliptic curves. We give an explicit upper bound for the points in the intersection of C with the union of all algebraic subgroups of a certain codimension. As a corollary we obtain an explicit upper bound for the height of the rational points for some families of curves and an explicit version of the Manin-Dem'janenko method in products of elliptic curves
Cite
@article{arxiv.1609.04615,
title = {An Explicit Manin-Dem'janenko theorem in elliptic curves},
author = {Evelina Viada},
journal= {arXiv preprint arXiv:1609.04615},
year = {2016}
}
Comments
23 pages