11 citations · 28 across the 10 of their papers we have counts for
6 papers · 1 filter
An Explicit Manin-Dem'janenko theorem in elliptic curves
Evelina Viada
Let C be a curve of genus at least 2 imbedded in a product of elliptic curves. We give an explicit upper bound for the points in the intersection of C with the union of all algebra…
Explicit height bounds and the explicit Mordell-Lang Conjecture
Evelina Viada
We give an overview of some landmark theorems and recent conjectures in Diophantine Geometry. In the elliptic case, we prove some new bounds for torsion anomalous points and we cla…
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 Explicit Torsion Anomalous Conjecture
Sara Checcoli, Francesco Veneziano, Evelina Viada
The Torsion Anomalous Conjecture states that an irreducible variety embedded in a semi-abelian variety contains only finitely many maximal -torsion anomalous varieties. In t…
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…
The explicit Mordell Conjecture for families of curves (with an appendix by M. Stoll)
Sara Checcoli, Francesco Veneziano, Evelina Viada
In this article we prove the explicit Mordell Conjecture for large families of curves. In addition, we introduce a method, of easy application, to compute all rational points on cu…