D. Lombardo

collaborators

3 papers

math.NT2025

Serre's uniformity question and proper subgroups of $C_{n s}^{+} (p)$

Lorenzo Furio, Davide Lombardo

Serre's uniformity question asks whether there exists a bound $N > 0$ such that, for every non-CM elliptic curve $E$ over $Q$ and every prime $p > N$ , the residual Galois repr…

math.NT2025

Explicit open image theorems for abelian varieties with trivial endomorphism ring

Matthew Bisatt, Davide Lombardo

Let $K$ be a number field and $A / K$ be an abelian variety of dimension $g$ . Assuming that the image $G_{ℓ^{\infty}}$ of the natural Galois representation attached to the Tate modu…

math.NT2025

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…

Serre's uniformity question and proper subgroups of Cns+​(p)

Explicit open image theorems for abelian varieties with trivial endomorphism ring

On the L-polynomials of curves over finite fields

Serre's uniformity question and proper subgroups of $C_{n s}^{+} (p)$

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