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

21 papers

math.NT2025

Linear relations among radicals

Antonella Perucca

Let $K$ be a field, fix an algebraic closure $K$ , and let $G$ be a subgroup of $K^{\times}$ . We are able to give a closed formula for the ratio between the degr…

math.NT2024

Kummer theory for function fields

Félix Baril Boudreau, Antonella Perucca

We develop Kummer theory for algebraic function fields in finitely many transcendental variables. We consider any finitely generated Kummer extension (possibly, over a cyclotomic e…

math.NT2023★ 1 cited

The distribution of the multiplicative index of algebraic numbers over residue classes

Pieter Moree, Antonella Perucca, Pietro Sgobba

Let $K$ be a number field and $G$ a finitely generated torsion-free subgroup of $K^{\times}$ . Given a prime $p$ of $K$ we denote by $ind_{p} (G)$ the index o…

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…