4 papers
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…
Intersection numbers as mixed volumes of Newton-Okounkov bodies
Robert Wilms
In this paper we express any intersection number of ample line bundles on an irreducible projective variety as the mixed volume $V(Î_{Y_\bullet}(L_1),\…
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 the additivity of Newton-Okounkov bodies
Robert Wilms
We study the additivity of Newton-Okounkov bodies. Our main result states that on two-dimensional subcones of the ample cone the Newto-Okounkov body associated to an appropriate fl…