A linear lower bound on the gonality of modular curves

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The result in the title is proven, using the Selberg estimate on the leading eigenvalue of the non-Euclidean Laplacian, and the method of conformal volumes of Li and Yau.
Latex2e in compatibility mode

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Algebraic Geometry, 14G35 11G18

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http://salesiana.dossiersoluciones.com/handle/123456789/150207

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9609012
 http://arxiv.org/abs/alg-geom/9609012

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arXiv