An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type

Keisuke Arai

Acta Arithmetica (2014)

  • Volume: 164, Issue: 4, page 343-353
  • ISSN: 0065-1036

Abstract

top
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.

How to cite

top

Keisuke 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.