Curves with few bad primes over cyclotomic ${\mathbb{Z}}_{\ell }$-extensions

Samir Siksek, Robin Visser

Let $K$ be a number field, and $S$ a finite set of non-archimedean places of $K$, and write ${\mathcal{O}}_S^{\times }$ for the group of $S$-units of $K$. A famous theorem of Siegel ass…