D. Lombardo

activity

20142023

most cited

P

fluxes and exotic branes

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

collaborators

Showing 2015Show all

5 papers · 1 filter

math.NT2015

On the uniform Rasmussen-Tamagawa conjecture in the CM case

Davide Lombardo

We prove a uniform version of a finiteness conjecture due to Rasmussen and Tamagawa in the case of CM abelian varieties. This extends recent results concerning CM elliptic curves t…

math.NT2015★ 2 cited

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.AG2015

Roots of unity and torsion points of abelian varieties

Davide Lombardo

We answer a question raised by Hindry and Ratazzi concerning the intersection between cyclotomic extensions of a number field $K$ and extensions of $K$ generated by torsion points…

math.NT2015

An explicit open image theorem for products of elliptic curves

Davide Lombardo

Let $K$ be a number field and $E_{1}, \dots, E_{n}$ be elliptic curves over $K$ , pairwise non-isogenous over $K$ and without complex multiplication over $K$ . We…

math.GR2015

Pink-type results for general subgroup of $SL_{2} (Z_{ℓ})^{n}$

Davide Lombardo

We study open subgroups $G$ of $SL_{2} (Z_{ℓ})^{n}$ in terms of some associated Lie algebras without assuming that $G$ is a pro- $ℓ$ group, thereby extending…

On the uniform Rasmussen-Tamagawa conjecture in the CM case

Explicit open image theorems for abelian varieties with trivial endomorphism ring

Roots of unity and torsion points of abelian varieties

An explicit open image theorem for products of elliptic curves

Pink-type results for general subgroup of SL2​(Zℓ​)n

Pink-type results for general subgroup of $SL_{2} (Z_{ℓ})^{n}$