The elliptic torsion anomalous conjecture in codimension 2
Number Theory
2017-01-31 v2
Abstract
The torsion anomalous conjecture states that for any variety V in an abelian variety there are only finitely many maximal V-torsion anomalous varieties. We prove this conjecture for V of codimension 2 in a product E^N of any elliptic curve E. This was known only when E has CM. We also give an effective upper bound for the normalized height of these maximal V-torsion anomalous varieties.
Cite
@article{arxiv.1604.05741,
title = {The elliptic torsion anomalous conjecture in codimension 2},
author = {Patrik Hubschmid and Evelina Viada},
journal= {arXiv preprint arXiv:1604.05741},
year = {2017}
}
Comments
11 pages