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math.NT2026
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…
math.NT2026
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…