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

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

Unified treatment of Artin-type problems II

Olli Järviniemi, Antonella Perucca, Pietro Sgobba

This work concerns Artin's Conjecture on primitive roots and related problems for number fields. Let $K$ be a number field and let $W_{1}$ to $W_{n}$ be finitely generated subgroups of…

math.NT2022

A local-global principle for polyquadratic twists of abelian surfaces

Francesc Fité, Antonella Perucca

We say that two abelian varieties $A$ and $A^{'}$ defined over a field $F$ are polyquadratic twists if they are isogenous over a Galois extension of $F$ whose Galois group has exponen…

math.NT2022

Unified treatment of Artin-type problems

Olli Järviniemi, Antonella Perucca

Since Hooley's seminal 1967 resolution of Artin's primitive root conjecture under the Generalized Riemann Hypothesis, numerous variations of the conjecture have been considered. We…