13 citations · 39 across the 7 of their papers we have counts for
9 papers
Pencils of norm form equations and a conjecture of Thomas, II
Francesco Amoroso, David Masser, Umberto Zannier
We continue our studies on parametric norm forms , with lying in some parametric linear subvariety and integers sufficien…
Polynomial-exponential equations -- some new cases of solvability
Vincenzo Mantova, David Masser
Recently Brownawell and the second author proved a "non-degenerate" case of the (unproved) "Zilber Nullstellensatz" in connexion with "Strong Exponential Closure". Here we treat so…
Effective André-Oort for non-compact curves in Hilbert modular varieties
Gal Binyamini, David Masser
In the proofs of most cases of the André-Oort conjecture, there are two different steps whose effectivity is unclear: the use of generalizations of Brauer-Siegel and the use of Pil…
On the torsion values for sections of an elliptic scheme
Pietro Corvaja, Julian Demeio, David Masser +1
We shall consider sections of an elliptic scheme over a(n affine) base curve , and study the points of where the section takes a torsion value. In particular,…
Rational points on Grassmannians and unlikely intersections in tori
Laura Capuano, David Masser, Jonathan Pila +1
In this paper, we present an alternative proof of a finiteness theorem due to Bombieri, Masser and Zannier concerning intersections of a curve in the multiplicative group of dimens…
Bounded Height in Pencils of Finitely Generated Subgroups
F. Amoroso, D. Masser, U. Zannier
We prove height bounds concerning intersections of finitely generated subgroups in a torus with algebraic subvarieties, all varying in a pencil. This vastly extends the previously…
Collinear CM-points
Yuri Bilu, Florian Luca, David Masser
André's celebrated Theorem of 1998 implies that each complex straight line (apart from obvious exceptions) contains at most finitely many points whose both coordinates are j-invari…
Relative Manin-Mumford for semi-abelian surfaces
Daniel Bertrand, David Masser, Anand Pillay +1
We show that Ribet sections are the only obstruction to the validity of the relative Manin-Mumford conjecture for one dimensional families of semi-abelian surfaces. Applications in…
Linear equations over multiplicative groups, recurrences, and mixing I
Harm Derksen, David Masser
Let K be a field of positive characteristic. When V is a linear variety in K^n and G is a finitely generated subgroup of K^*, we show how to compute the intersection of V and G^n e…