Elliptic functions and equations of modular curves

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $p\ge 5$ be a prime. We show that the space of weight one Eisenstein series defines an embedding into $\PP^{(p-3)/2}$ of the modular curve $X_1(p)$ for the congruence group $Γ_1(p)$ that is scheme-theoretically cut out by explicit quadratic equations.
AMS-LaTeX, 15 pages

Keywords

Algebraic Geometry, Number Theory, 11F11; 14G35; 14H52; 14H70

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60223

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010272
 http://arxiv.org/abs/math/0010272

Collections

arXiv