Antonella Perucca

activity

20072025

most citedPrescribing valuations of the order of a point in the reductions of abelian varieties and tori

21 citations · 53 across the 19 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 10 cited

Reductions of points on algebraic groups

Davide Lombardo, Antonella Perucca

Let $A$ be the product of an abelian variety and a torus defined over a number field $K$ . Fix some prime number $ℓ$ . If $α \in A (K)$ is a point of infinite order, we consider the…

math.NT2016

The 1-eigenspace for matrices in $GL_{2} (Z_{ℓ})$

Davide Lombardo, Antonella Perucca

Fix some prime number $ℓ$ and consider an open subgroup $G$ either of $GL_{2} (Z_{ℓ})$ or of the normalizer of a Cartan subgroup of $\operatorname{GL}_2(\m…

Reductions of points on algebraic groups

The 1-eigenspace for matrices in GL2​(Zℓ​)

The 1-eigenspace for matrices in $GL_{2} (Z_{ℓ})$