6 papers · 1 filter
Constructing totally -adic numbers of small height
Sara Checcoli, Arno Fehm
Bombieri and Zannier gave an effective construction of algebraic numbers of small height inside the maximal Galois extension of the rationals which is totally split at a given fini…
On the Northcott property and local degrees
Sara Checcoli, Arno Fehm
We construct infinite Galois extensions of that satisfy the Northcott property on elements of small height, and where this property can be deduced solely from the…
A note on Galois groups and local degrees
Sara Checcoli
In this paper, we consider infinite Galois extensions of number fields and study the relation between their local degrees and the structure of their Galois groups. It is known that…
A sharp Bogomolov-type bound
Sara Checcoli, Francesco Veneziano, Evelina Viada
We prove a sharp lower bound for the essential minimum of a non-translate variety in certain abelian varieties. This uses and generalises a result of Galateau. Our bound is a new s…
On the Torsion Anomalous Conjecture in CM abelian varieties
Sara Checcoli, Evelina Viada
The Torsion Anomalous Conjecture (TAC) states that a subvariety V of an abelian variety A has only finitely many maximal torsion anomalous subvarieties. In this work we prove, with…
Tchebotarev theorems for function fields
Sara Checcoli, Pierre Dèbes
We prove Tchebotarev type theorems for function field extensions over various base fields: number fields, finite fields, p-adic fields, PAC fields, etc. The Tchebotarev conclusion…