F. Naccarato

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20182026

most citedSearching for Materials with High Refractive Index and Wide Band Gap: A First-Principles High-Throughput Study

89 citations · 89 across the 5 of their papers we have counts for

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math.NT2026

The arithmetic of critical values II: critical elliptic curves

Francesco Naccarato

In this second chapter of the $Arithmetic of critical values$ series (ACV), we study certain double covers $E_{f} \to P^{1}$ whose branch locus coincides with that of a…

math.NT2026

Finding the complement of an elliptic curve inside a Jacobian

Andrea Gallese, Davide Lombardo, Francesco Naccarato +1

This note gives a simple algorithm for the following effectivity problem: given a genus $2$ curve $X$ together with a nonconstant map $π : X \to E$ to an elliptic curve, determine an…

math.NT2025

The arithmetic of critical values I: equicritical quartic polynomials

Francesco Naccarato

A polynomial $f$ of degree $d$ and coefficients in an algebraically closed field $k$ defines a morphism $f : P_{k}^{1} ⟶ P_{k}^{1}$ which, if char $(k) ∤ d$ ,…

math.NT2021

Counting rational points on elliptic curves with a rational 2-torsion point

Francesco Naccarato

Let $E / Q$ be an elliptic curve over the rational numbers. It is known, by the work of Bombieri and Zannier, that if $E$ has full rational $2$ -torsion, the number $N_{E} (B)$ …