Francesco Ballini

activity

20182022

collaborators

4 papers

math.NT2022

Division of primitive Points in an abelian Variety

Francesco Ballini

Let $A$ be an abelian variety defined over a number field $K$ . We say that a point $P \in A (Q)$ is primitive if there is no $Q \in A (Q)$ def…

math.NT2021

Hyperelliptic continued fractions in the singular case of genus zero

Francesco Ballini, Francesco Veneziano

It is possible to define a continued fraction expansion of elements in a function field of a curve by expanding as a Laurent series in a local parameter. Considering the square roo…

math.CO2020

Vertex distinction with subgraph centrality: a proof of Estrada's conjecture and some generalizations

Francesco Ballini, Nikita Deniskin

Centrality measures are used in network science to identify the most important vertices for transmission of information and dynamics on a graph. One of these measures, introduced b…

math.NT2018

On the $L$ -polynomials of curves over finite fields

Francesco Ballini, Davide Lombardo, Matteo Verzobio

We discuss, in a non-Archimedean setting, the distribution of the coefficients of $L$ -polynomials of curves of genus $g$ over $F_{q}$ . Among other results, this allows us to…

Division of primitive Points in an abelian Variety

Hyperelliptic continued fractions in the singular case of genus zero

Vertex distinction with subgraph centrality: a proof of Estrada's conjecture and some generalizations

On the L-polynomials of curves over finite fields

On the $L$ -polynomials of curves over finite fields