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A linear lower bound on the gonality of modular curves

Dan Abramovich
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Abstract

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.

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Dan Abramovich. 1996-09-16. A linear lower bound on the gonality of modular curves. https://arxiv.org/abs/alg-geom/9609012

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