An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type
Acta Arithmetica (2014)
- Volume: 164, Issue: 4, page 343-353
- ISSN: 0065-1036
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topKeisuke Arai. "An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type." Acta Arithmetica 164.4 (2014): 343-353. <http://eudml.org/doc/286212>.
@article{KeisukeArai2014,
abstract = {In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.},
author = {Keisuke Arai},
journal = {Acta Arithmetica},
keywords = {effective bound; rational points; Shimura curves; QM-abelian surfaces},
language = {eng},
number = {4},
pages = {343-353},
title = {An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type},
url = {http://eudml.org/doc/286212},
volume = {164},
year = {2014},
}
TY - JOUR
AU - Keisuke Arai
TI - An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 4
SP - 343
EP - 353
AB - In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.
LA - eng
KW - effective bound; rational points; Shimura curves; QM-abelian surfaces
UR - http://eudml.org/doc/286212
ER -
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