Gouvêa–Mazur conjecture on local constancy of slopes
Let ppp be a prime number, let NNN be a positive integer coprime to ppp, and normalize the ppp-adic valuation on Q‾p\overline{\mathbb{Q}}_pQp by vp(p)=1v_p(p)=1vp(p)=1. For r∈Qr\in\mathbb{Q}r∈Q and a…