3 papers
math.NT2016
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…
math.NT2016
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…
math.NT2013
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…