Fabrizio Barroero

activity

20122022

most citedOn the Zilber-Pink conjecture for complex abelian varieties

1 citations · 2 across the 4 of their papers we have counts for

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math.NT2022★ 1 cited

Greatest Common Divisor results on semiabelian varieties and a Conjecture of Silverman

Fabrizio Barroero, Laura Capuano, Amos Turchet

A divisibility sequence is a sequence of integers ${d_{n}}$ such that $d_{m}$ divides $d_{n}$ if $m$ divides $n$ . Results of Bugeaud, Corvaja, Zannier, among others, have shown that th…

math.NT2021

Betti maps, Pell equation in polynomials and almost Belyi maps

Fabrizio Barroero, Laura Capuano, Umberto Zannier

We study the Betti map of a particular (but relevant) section of the family of Jacobians of hyperelliptic curves using the polynomial Pell equation $A^{2} - D B^{2} = 1$ , with $A,B,D\in \ma…

math.NT2019★ 1 cited

On the Zilber-Pink conjecture for complex abelian varieties

Fabrizio Barroero, Gabriel Andreas Dill

In this article, we prove that the Zilber-Pink conjecture for abelian varieties over an arbitrary field of characteristic $0$ is implied by the same statement for abelian varieties…

math.NT2019

Torsion points with multiplicatively dependent coordinates on elliptic curves

Fabrizio Barroero, Min Sha

In this paper, we study the finiteness problem of torsion points on an elliptic curve whose coordinates satisfy some multiplicative dependence relations. In particular, we prove th…

math.NT2012

Counting lattice points and o-minimal structures

Fabrizio Barroero, Martin Widmer

Let $Λ$ be a lattice in $R^{n}$ , and let $Z \subseteq R^{m + n}$ be a definable family in an o-minimal structure over $R$ . We give sharp estimates for the number of lattice points in…