2 papers
math.NT2020
Integral Points on Elliptic Curves and Modularity
Federico Amadio Guidi
In this paper we prove the finiteness of the set of S-integral points of a punctured rational elliptic curve without complex multiplication using the Chabauty-Kim method. This exte…
math.NT2018
Fractional jumps: complete characterisation and an explicit infinite family
Federico Amadio Guidi, Giacomo Micheli
In this paper we provide a complete characterisation of transitive fractional jumps by showing that they can only arise from transitive projective automorphisms. Furthermore, we pr…