89 citations · 89 across the 5 of their papers we have counts for
6 papers
The arithmetic of critical values II: critical elliptic curves
Francesco Naccarato
In this second chapter of the series (ACV), we study certain double covers whose branch locus coincides with that of a…
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 curve together with a nonconstant map to an elliptic curve, determine an…
The arithmetic of critical values I: equicritical quartic polynomials
Francesco Naccarato
A polynomial of degree and coefficients in an algebraically closed field defines a morphism which, if char,…
SnPS: A Promising Infrared Nonlinear Optical Crystal with Strong Non-Resonant Second Harmonic Generation and Phase-matchability
Jingyang He, Seng Huat Lee, Francesco Naccarato +10
High-power infrared laser systems with broadband tunability are of great importance due to their wide range of applications in spectroscopy and free-space communications. These sys…
Counting rational points on elliptic curves with a rational 2-torsion point
Francesco Naccarato
Let be an elliptic curve over the rational numbers. It is known, by the work of Bombieri and Zannier, that if has full rational -torsion, the number …
Searching for Materials with High Refractive Index and Wide Band Gap: A First-Principles High-Throughput Study
Francesco Naccarato, Francesco Ricci, Jin Suntivich +3
Materials combining both a high refractive index and a wide band gap are of great interest for optoelectronic and sensor applications. However, these two properties are typically d…