The optimality of the Bounded Height Conjecture
- [1] Université de Fribourg Suisse, Pérolles Département de Mathématiques Chemin du Musée 23 CH-1700 Fribourg, Switzerland Supported by the SNF (Swiss National Science Foundation)
Journal de Théorie des Nombres de Bordeaux (2009)
- Volume: 21, Issue: 3, page 771-786
- ISSN: 1246-7405
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topViada, Evelina. "The optimality of the Bounded Height Conjecture." Journal de Théorie des Nombres de Bordeaux 21.3 (2009): 771-786. <http://eudml.org/doc/10912>.
@article{Viada2009,
abstract = {In this article we show that the Bounded Height Conjecture is optimal in the sense that, if $V$ is an irreducible subvariety with empty deprived set in a power of an elliptic curve, then every open subset of $V$ does not have bounded height. The Bounded Height Conjecture is known to hold. We also present some examples and remarks.},
affiliation = {Université de Fribourg Suisse, Pérolles Département de Mathématiques Chemin du Musée 23 CH-1700 Fribourg, Switzerland Supported by the SNF (Swiss National Science Foundation)},
author = {Viada, Evelina},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Height; Elliptic curves; Subvarieties; height; elliptic curves; subvarieties},
language = {eng},
number = {3},
pages = {771-786},
publisher = {Université Bordeaux 1},
title = {The optimality of the Bounded Height Conjecture},
url = {http://eudml.org/doc/10912},
volume = {21},
year = {2009},
}
TY - JOUR
AU - Viada, Evelina
TI - The optimality of the Bounded Height Conjecture
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2009
PB - Université Bordeaux 1
VL - 21
IS - 3
SP - 771
EP - 786
AB - In this article we show that the Bounded Height Conjecture is optimal in the sense that, if $V$ is an irreducible subvariety with empty deprived set in a power of an elliptic curve, then every open subset of $V$ does not have bounded height. The Bounded Height Conjecture is known to hold. We also present some examples and remarks.
LA - eng
KW - Height; Elliptic curves; Subvarieties; height; elliptic curves; subvarieties
UR - http://eudml.org/doc/10912
ER -
References
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