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 2011Show all

3 papers · 1 filter

math.NT2011

Characterizing Abelian Varieties by the Reductions of the Mordell-Weil Group

Chris Hall, Antonella Perucca

Let $A$ be an abelian variety defined over a number field $K$ . If $p$ is a prime of $K$ of good reduction for $A$ , let $A (K)_{p}$ denote the image of the Mordel…

math.NT2011★ 2 cited

Radical characterizations of elliptic curves

Chris Hall, Antonella Perucca

Let K be a number field, and let E be an elliptic curve over K. A famous result by Faltings of 1983 can be reformulated for elliptic curves as follows: if S is a set of primes of g…

math.NT2011★ 1 cited

The order of the reductions of an algebraic integer

Antonella Perucca

Let K be a number field, and let a be a non-zero element of K. Fix some prime number l. We compute the density of the following set: the primes p of K such that the multiplicative…