Simone Coccia

activity

20182025

most citedThe Hilbert Property for integral points of affine smooth cubic surfaces

11 citations · 13 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG2025

Density of integral points in the Betti moduli of quasi-projective varieties

Simone Coccia, Daniel Litt

Let $Y$ be a smooth quasi-projective complex variety equipped with a simple normal crossings compactification. We show that integral points are potentially dense in the (relative)…

math.NT2024

Intersection of orbits for polynomials in characteristic $p$

Simone Coccia, Dragos Ghioca, Jungin Lee +1

In [GTZ08, GTZ12], the following result was established: given polynomials $f, g \in C [x]$ of degrees larger than $1$ , if there exist $α, β \in C$ such that their corre…

math.AG2023

An Hilbert Irreducibility Theorem for integral points of del Pezzo surfaces

Simone Coccia

We prove that the integral points are potentially Zariski dense in the complement of a reduced effective singular anticanonical divisor in a smooth del Pezzo surface, with the exce…

math.NT2023★ 2 cited

A variant of Siegel's theorem for Drinfeld modules

Simone Coccia, Dragos Ghioca

We complete the proof of a Siegel type statement for finitely generated $Φ$ -submodules of $G_{a}$ under the action of a Drinfeld module $Φ$ .

math.NT2018★ 11 cited

The Hilbert Property for integral points of affine smooth cubic surfaces

Simone Coccia

In this paper we prove that the set of $S$ -integral points of the smooth cubic surfaces in $A^{3}$ over a number field $k$ is not thin, for suitable $k$ and $S$ . As a coroll…

Density of integral points in the Betti moduli of quasi-projective varieties

Intersection of orbits for polynomials in characteristic p

An Hilbert Irreducibility Theorem for integral points of del Pezzo surfaces

A variant of Siegel's theorem for Drinfeld modules

The Hilbert Property for integral points of affine smooth cubic surfaces

Intersection of orbits for polynomials in characteristic $p$