14 citations · 24 across the 12 of their papers we have counts for
5 papers · 1 filter
Arithmetic unlikely intersections in powers of the multiplicative group
Francesco Campagna, Gabriel Andreas Dill, Robert Wilms
Inspired by work of Bugeaud-Corvaja-Zannier, we formulate a conjecture about unlikely intersections in powers of the multiplicative group over the ring of integers in a number fiel…
Height coincidences in products of the projective line
Niki Myrto Mavraki, Harry Schmidt, Robert Wilms
We consider hypersurfaces in that contain a generic sequence of small dynamical height with respect to a split map and project onto coordinates. We show th…
A uniform quantitative Manin-Mumford theorem for curves over function fields
Nicole Looper, Joseph Silverman, Robert Wilms
We prove that any smooth projective geometrically connected non-isotrivial curve of genus over a one-dimensional function field of any characteristic has at most $16g^2+32…
On Faltings' Delta-Invariant of Hyperelliptic Riemann Surfaces
Robert Wilms
In this paper we prove new explicit formulas for Faltings' -invariant of an arbitrary hyperelliptic Riemann surface. This has several applications: For example we obtain an expl…
The family of ternary cyclotomic polynomials with one free prime
Yves Gallot, Pieter Moree, Robert Wilms
A cyclotomic polynomial Φ_n(x) is said to be ternary if n=pqr with p,q and r distinct odd primes. Ternary cyclotomic polynomials are the simplest ones for which the behaviour of th…