2 papers
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
Semistable abelian varieties over with bad reduction at 19 only: an overview of the Fontaine--Schoof strategy
Francesco Campagna, Pip Goodman
In this paper we provide an overview of a strategy pioneered by Fontaine and heavily refined by Schoof to classify abelian varieties with prescribed bad reduction. Throughout the o…