Fabrizio Barroero

activity

20122024

most citedOn the Zilber-Pink conjecture for complex abelian varieties

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

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.NT2021

Unlikely Intersections of Curves with Algebraic Subgroups in Semiabelian Varieties

Fabrizio Barroero, Lars Kühne, Harry Schmidt

Let $G$ be a semiabelian variety and $C$ a curve in $G$ that is not contained in a proper algebraic subgroup of $G$ . In this situation, conjectures of Pink and Zilber imply that th…

math.NT2021

Distinguished categories and the Zilber-Pink conjecture

Fabrizio Barroero, Gabriel Andreas Dill

We propose an axiomatic approach towards studying unlikely intersections by introducing the framework of distinguished categories. This includes commutative algebraic groups and mi…