Výsledky vyhledávání - "Vinatier, Stéphane"

Report

Gauss sums, Jacobi sums and cyclotomic units related to torsion Galois modules

Let $G$ be a finite group and let $N/E$ be a tamely ramified $G$-Galois extension of number fields. We show how Stickelberger's factorization of Gauss sums can be used to determine the stable isomorphism class of various arithmetic $\mathbb{Z}[G]$-mo

Externí odkaz: http://arxiv.org/abs/1402.3795

Zobrazit plný text záznamu

Report

Exponential power series, Galois module structure and differential modules

Autor: Pickett, Erik Jarl, Vinatier, Stephane

We use new over-convergent p-adic exponential power series, inspired by work of Pulita, to build self-dual normal basis generators for the square root of the inverse different of certain abelian weakly ramified extensions of an unramified extension K

Externí odkaz: http://arxiv.org/abs/1107.1120

Zobrazit plný text záznamu

Report

Construction of self-dual normal bases and their complexity

Autor: Arnault, François, Pickett, Erik Jarl, Vinatier, Stéphane

Publikováno v: Finite Fields and their Applications, Vol 18, Issue 2, 2012, pp 458-472

Recent work of Pickett has given a construction of self-dual normal bases for extensions of finite fields, whenever they exist. In this article we present these results in an explicit and constructive manner and apply them, through computer search, t

Externí odkaz: http://arxiv.org/abs/1007.4899

Zobrazit plný text záznamu

Report

Self-Dual Integral Normal Bases and Galois Module Structure

Autor: Pickett, Erik Jarl, Vinatier, Stéphane

Publikováno v: Compositio Math. 149 (2013) 1175-1202

Let $N/F$ be an odd degree Galois extension of number fields with Galois group $G$ and rings of integers ${\mathfrak O}_N$ and ${\mathfrak O}_F=\bo$ respectively. Let $\mathcal{A}$ be the unique fractional ${\mathfrak O}_N$-ideal with square equal to

Externí odkaz: http://arxiv.org/abs/1007.0665

Zobrazit plný text záznamu