6 papers
Bogomolov property and Galois representations
Francesco Amoroso, Lea Terracini
In 2013 P. Habegger proved the Bogomolov property for the field generated over Q by the torsion points of a rational elliptic curve. We explore the possibility of applying the same…
Equidistribution for sets which are not necessarily Galois stable: On a theorem of Mignotte
Francesco Amoroso, Arnaud Plessis
An important result of Bilu deals with the equidistribution of the Galois orbits of a sequence in . Here, we prove a quantitative equidistributio…
A remark on a recent proof of Lehmer's Conjecture [arXiv:1709.03771]
Francesco Amoroso
Over one year ago, a very long preprint posted on arXiv [arXiv:1709.03771] and HAL announced a proof of Lehmer's Conjecture (and of other related results). Unfortunately, as was re…
Factorization of bivariate sparse polynomials
Francesco Amoroso, Martín Sombra
We prove a function field analogue of a conjecture of Schinzel on the factorization of univariate polynomials over the rationals. We derive from it a finiteness theorem for the irr…
Unlikely intersections and multiple roots of sparse polynomials
F. Amoroso, M. Sombra, U. Zannier
We present a structure theorem for the multiple non-cyclotomic irreducible factors appearing in the family of all univariate polynomials with a given set of coefficients and varyin…
Overdetermined systems of sparse polynomial equations
Francesco Amoroso, Louis Leroux, Martin Sombra
We show that, for a system of univariate polynomials given in sparse encoding, we can compute a single polynomial defining the same zero set, in time quasi-linear in the logarithm…