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F. Naccarato

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Preprint Aug 2026

The arithmetic of critical values II: critical elliptic curves

In this second chapter of the $\textit{Arithmetic of critical values}$ series (ACV), we study certain double covers $E_f\to\mathbb{P}^1$ whose branch locus coincides with that of a quartic polynomial $f$. We give a direct proof of the fact, already shown non-constructively in ACV I, that the elliptic curves $E_f$ admit...

F. Naccarato · 0 citations