On the Torsion Anomalous Conjecture in CM abelian varieties
Number Theory
2016-05-16 v1
Abstract
The Torsion Anomalous Conjecture (TAC) states that a subvariety V of an abelian variety A has only finitely many maximal torsion anomalous subvarieties. In this work we prove, with an effective method, some cases of the TAC when the ambient variety A has CM, generalising our previous results in products of CM elliptic curves. When V is a curve, we give new results and we deduce some implications on the effective Mordell-Lang Conjecture.
Keywords
Cite
@article{arxiv.1605.04081,
title = {On the Torsion Anomalous Conjecture in CM abelian varieties},
author = {Sara Checcoli and Evelina Viada},
journal= {arXiv preprint arXiv:1605.04081},
year = {2016}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:1204.1435