Heights and elliptic curves
|Director of thesis||Philipp Habegger|
|Co-director of thesis|
|Summary of thesis||
We look at the torsion points E_tor of an elliptic curve E over Q and adjoin their coordinates to Q. What we get is Q(E_tor) which is a Bogomolov field. In a Bogomolov field, the height of a nonzero number which is not a root of unity is bounded from below by a positive constant. We will compute this constant explicitly.
|Administrative delay for the defence|