most citedMachine learning for moduli space of genus two curves and an application to isogeny based cryptography

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math.NT2025★ 3 cited

Rational Points and Zeta Functions of Humbert Surfaces with Square Discriminant

Elira Shaska, Jorge Mello, Sajad Salami +1

This paper examines the arithmetic of the loci \(\cL_n\), parameterizing genus 2 curves with \((n, n)\)-split Jacobians over finite fields \(\F_q\). We compute rational points \(|\…