2 papers
math.NT2022
From Fontaine-Mazur conjecture to analytic pro-p groups -- A survey
Ramla Abdellatif, Supriya Pisolkar, Marine Rougnant +1
Fontaine-Mazur Conjecture is one of the core statements in modern arithmetic geometry. Several formulations were given since its original statement in 1993, and various angles have…
math.NT2019
A note on -rational fields and the abc-conjecture
Christian Maire, Marine Rougnant
In this short note we confirm the relation between the generalized -conjecture and the -rationality of number fields. Namely, we prove that given K a real quad…