An Addendum to the elliptic torsion anomalous conjecture in codimension 2
Hubschmid, Patrik1 ; Viada, Evelina1
1 Georg-August-Universität Göttingen, Germany
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 209-220.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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 an elliptic curve E without CM, complementing previous results for E with CM. We also give an effective upper bound for the normalized height of these maximal V-torsion anomalous varieties.

Publié le :
DOI : 10.4171/RSMUP/23
Classification : 11, 14
Mots-clés : Effective diophantine approximation, height, anomalous intersections
Hubschmid, Patrik 1 ; Viada, Evelina 1

1 Georg-August-Universität Göttingen, Germany 
@article{RSMUP_2019__141__209_0,
     author = {Hubschmid, Patrik and Viada, Evelina},
     title = {An {Addendum} to the elliptic torsion anomalous conjecture in codimension 2},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {209--220},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {141},
     year = {2019},
     doi = {10.4171/RSMUP/23},
     mrnumber = {3962829},
     zbl = {1472.11199},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/23/}
}
TY  - JOUR
AU  - Hubschmid, Patrik
AU  - Viada, Evelina
TI  - An Addendum to the elliptic torsion anomalous conjecture in codimension 2
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2019
SP  - 209
EP  - 220
VL  - 141
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/23/
DO  - 10.4171/RSMUP/23
ID  - RSMUP_2019__141__209_0
ER  - 
%0 Journal Article
%A Hubschmid, Patrik
%A Viada, Evelina
%T An Addendum to the elliptic torsion anomalous conjecture in codimension 2
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2019
%P 209-220
%V 141
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/23/
%R 10.4171/RSMUP/23
%F RSMUP_2019__141__209_0
Hubschmid, Patrik; Viada, Evelina. An Addendum to the elliptic torsion anomalous conjecture in codimension 2. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 209-220. doi : 10.4171/RSMUP/23. http://archive.numdam.org/articles/10.4171/RSMUP/23/

Cité par Sources :