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P. Mercuri

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Preprint Oct 2026

Automorphisms of general modular curves

We prove that for a geometrically connected modular curve $X_H$ of prime level larger than $311$, all automorphisms are modular, i.e., they arise from the moduli interpretation of $X_H$. The proof relies on a general criterion involving the gonality of $X_H$ and the dimension of the CM part of the Jacobian of $X_H$. Fo...

V. Dose, G. Lido, P. Mercuri · 0 citations

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