Youness Mazigh

activity

20182021

collaborators

3 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…