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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 curve together with a nonconstant map to an elliptic curve, determine an…
math.NT2024
Examples of effectivity for integral points on certain curves of genus 2
Pietro Corvaja, Davide Lombardo, Umberto Zannier
We consider families of smooth projective curves of genus 2 with a single point removed and study their integral points. We show that in many such families there is a dense set of…