Youness Mazigh

activity

20162021

collaborators

5 papers

math.NT2021

Poitou-Tate Duality for totally positive Galois cohomology

H. Asensouyis, J. Assim, Z. Boughadi +1

In this paper, we establish a Poitou-Tate's global duality for totally positive Galois cohomology. We illustrate this result in the case of the twisted module "à la Tate" $\mathbb{…

math.NT2019

A genus formula for the positive étale wild kernel

Hassan Asensouyis, Jilali Assim, Youness Mazigh

Let $F$ be a number field and let $i \geq 2$ be an integer. In this paper, we study the positive étale wild kernel $\mathrm{WK}^{\mbox{ét},+}_{2i-2}F$, which is the twisted analogue…

math.NT2018

On Iwasawa theory of Rubin-Stark units and narrow class groups

Youness Mazigh

Let $K$ be a totally real number field of degree $r$ . Let $K_{\infty}$ denote the cyclotomic $Z_{2}$ -extension of $K$ and let $L_{\infty}$ be a finite extension of $K_{\in…

math.NT2016

The index of Rubin-Stark units

Saad EL Boukhari, Youness Mazigh

The aim of this paper is to compare the orders of the class groups and the quotients of the $r$ -th exterior power of units modulo Rubin-Stark units.

math.NT2016

Iwasawa theory of Rubin-Stark units and class group

Youness Mazigh

Let $K$ be a totally real number field of degree $r = [K : Q]$ and let $p$ be an odd rational prime. Let $K_{\infty}$ denote the cyclotomic $Z_{p}$ -extension of $K$ a…