D. Lombardo

activity

20142023

most cited

P

fluxes and exotic branes

36 citations · 134 across the 27 of their papers we have counts for

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Showing 2022 · math.NTShow all

3 papers · 2 filters

math.NT2022

A family of quintic Thue equations via Skolem's $p$ -adic method

Davide Lombardo

In this semi-expository article we solve the diophantine equation $m^{5} + (4 \cdot 5^{4} b^{4}) m n^{4} - n^{5} = 1$ for all integers $b \neq = 0$ . This gives an example of a family of quintic Thue…

math.NT2022★ 1 cited

Torsion bounds for a fixed abelian variety and varying number field

Samuel Le Fourn, Davide Lombardo, David Zywina

Let $A$ be an abelian variety defined over a number field $K$ . For a finite extension $L / K$ , the cardinality of the group $A (L)_{tors}$ of torsion points in $A (L)$ c…

math.NT2022★ 1 cited

On the local-global principle for isogenies of abelian surfaces

Davide Lombardo, Matteo Verzobio

Let $ℓ$ be a prime number. We classify the subgroups $G$ of $Sp_{4} (F_{ℓ})$ and $GSp_{4} (F_{ℓ})$ that act irreducibly on $\mathbb{F…

A family of quintic Thue equations via Skolem's p-adic method

Torsion bounds for a fixed abelian variety and varying number field

On the local-global principle for isogenies of abelian surfaces

A family of quintic Thue equations via Skolem's $p$ -adic method