1 citations · 2 across the 4 of their papers we have counts for
6 papers
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…
Non-ordinary curves with a Prym variety of low -rank
Turku Ozlum Celik, Yara Elias, Burcin Gunes +4
If is an unramified double cover of a smooth curve of genus , then the Prym variety is a principally polarized abelian variety of dimension . When is…
Large Galois images for Jacobian varieties of genus 3 curves
Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3
Given a prime number l greater than or equal to 5, we construct an infinite family of three-dimensional abelian varieties over Q such that, for any A/Q in the family, the Galois re…
Galois representations and Galois groups over Q
Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker +3
In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve and let J(C) be the associated Jacobian…
Formal group exponentials and Galois modules in Lubin-Tate extensions
Erik Jarl Pickett, Lara Thomas
Explicit descriptions of local integral Galois module generators in certain extensions of -adic fields due to Pickett have recently been used to make progress with open question…
The valuation criterion for normal basis generators
Bart de Smit, Mathieu Florence, Lara Thomas
If is a finite Galois extension of local fields, we say that the valuation criterion holds if there is an integer such that every element with valuati…