Heights of CM Points on Complex Affine Curves |
| |
| Authors: | Breuer Florian |
| |
| Affiliation: | (1) UMR Mathematiques, Universite Denis Diderot, Paris 7, France |
| |
| Abstract: | In this note we show that, assuming the generalized Riemann hypothesis for quadratic imaginary fields, an irreducible algebraic curve in   is modular if and only if it contains a CM point of sufficiently large height. This is an effective version of a theorem of Edixhoven. |
| |
| Keywords: | complex multiplication elliptic curves modular curves heights |
| 本文献已被 SpringerLink 等数据库收录！ |
|
