11 citations · 28 across the 10 of their papers we have counts for
13 papers
Irreducibility criteria for the preimages of a transverse variety under endomorphisms of products of elliptic curves
Riccardo Pengo, Evelina Viada
We provide two different proofs of an irreducibility criterion for the preimages of a transverse subvariety of a product of elliptic curves under a diagonal endomorphism of suffici…
Explicit height bounds for -rational points on transverse curves in powers of elliptic curves
Francesco Veneziano, Evelina Viada
Let be an algebraic curve embedded transversally in a power of an elliptic curve . In this article we produce a good explicit bound for the height of all the algebraic…
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…