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Elliptic functions and equations of modular curves
Authors:Lev A Borisov  Paul E Gunnells  Sorin Popescu
Institution:(1) Department of Mathematics, Columbia University, New York, NY 10027, USA (e-mail: {lborisov, psorin}@math.columbia.edu, http://www.math.columbia.edu/˜borisov , http://www.math.columbia.edu/˜psorin), US;(2) Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 07102–1811, USA (e-mail: gunnells@andromeda.rutgers.edu), US;(3) State University of New York at Stony Brook, Stony Brook, NY 11794-3651, USA (e-mail: sorin@math.sunysb.edu, http://www.math.sunysb.edu/˜orin/), US
Abstract:Let be a prime. We show that the space of weight one Eisenstein series defines an embedding into ${\mathbb P}^{(p-3)/2}X_1(p)$ for the congruence group that is scheme-theoretically cut out by explicit quadratic equations. Received: 8 November 2000 / Published online: 17 August 2001
Keywords:Mathematics Subject Classification (1991): 11F11  14G35  14H52  14H70
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