Geodesic
An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type
Keisuke Arai1
1 Department of Mathematics School of Engineering Tokyo Denki University 5 Senju Asahi-cho Adachi-ku, Tokyo 120-8551, Japan
Acta Arithmetica, Tome 164 (2014) no. 4, pp. 343-353 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 $\varGamma _0(p)$-type for every sufficiently large prime number $p$. In this article, we obtain an effective bound for such $p$.
DOI : 10.4064/aa164-4-2
Keywords: previous articles showed number fields certain large class there elliptic points shimura curve vargamma type every sufficiently large prime number nbsp article obtain effective bound nbsp

Keisuke Arai 1

1 Department of Mathematics School of Engineering Tokyo Denki University 5 Senju Asahi-cho Adachi-ku, Tokyo 120-8551, Japan 
@article{10_4064_aa164_4_2,
     author = {Keisuke Arai},
     title = {An effective bound of $p$ for algebraic points on {Shimura} curves of $\varGamma _{0}(p)$-type},
     journal = {Acta Arithmetica},
     pages = {343--353},
     year = {2014},
     volume = {164},
     number = {4},
     doi = {10.4064/aa164-4-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa164-4-2/}
}
TY  - JOUR
AU  - Keisuke Arai
TI  - An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type
JO  - Acta Arithmetica
PY  - 2014
SP  - 343
EP  - 353
VL  - 164
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa164-4-2/
DO  - 10.4064/aa164-4-2
LA  - en
ID  - 10_4064_aa164_4_2
ER  - 
%0 Journal Article
%A Keisuke Arai
%T An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type
%J Acta Arithmetica
%D 2014
%P 343-353
%V 164
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/aa164-4-2/
%R 10.4064/aa164-4-2
%G en
%F 10_4064_aa164_4_2
Keisuke Arai. An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type. Acta Arithmetica, Tome 164 (2014) no. 4, pp. 343-353. doi: 10.4064/aa164-4-2

Cité par Sources :