Geodesic
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

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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 
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     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://geodesic.mathdoc.fr/articles/10.4171/RSMUP/23/}
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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

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