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Concept

Extension de Galois

Publications associées (16)

L'aménagement du territoire comme espace public : quelques questions de démocratie locale posées par l’extension de l’École hôtelière dans le périurbain lausannois

Vincent Kaufmann, Luca Giovanni Pattaroni, Mischa-Sébastien Piraud

Based on a field survey on the conflicts regarding the extension of the Ecole Hôtelière de Lausanne, this text discusses the production of public space. These controversies make possible an understanding of the production process of peri-urban space in ter ...

2022

Depth of field extension through polarization aberrations

Alessandro Grosso

This paper focuses on depth of field (DOF) extension through polarization aberrations. The addition of polarizing elements into an optical system allows to exploit the polarization of the incoming light as an additional degree of freedom in the optical sys ...

SPIE-INT SOC OPTICAL ENGINEERING2019

Hasse principles for multinorm equations

Eva Bayer Fluckiger, Ting-Yu Lee

A classical result of Hasse states that the norm principle holds for finite cyclic extensions of global fields, in other words local norms are global norms. We investigate the norm principle for finite dimensional commutative kale algebras over global fiel ...

2019

Cohomological Invariants for G-Galois Algebras and Self-Dual Normal Bases

Eva Bayer Fluckiger

Cohomological Invariants for G-Galois Algebras and Self-Dual Normal Bases. We define degree two cohomological invariants for

G

-Galois algebras over fields of characteristic not 2, and use them to give necessary conditions for the existence of a self--dua ...

2017

Approximate Decoding for Network Coded Inter-dependent Data

Pascal Frossard, Nikolaos Thomos, Hyung Gon Park

In this paper, we consider decoding of loss tolerant data encoded by network coding and transmitted over error-prone networks. Intermediate network nodes typically perform the random linear network coding in a Galois field and a Gaussian elimination is use ...

Elsevier Science Bv2016

Special Reductive Groups Over An Arbitrary Field

Mathieu Huruguen

A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in the case where the base field is algebraically closed. In this paper we desc ...

Springer Birkhauser2016

Conditionally flat functors on spaces and groups

Jérôme Scherer

Consider a fibration sequence of topological spaces which is preserved as such by some functor , so that is again a fibration sequence. Pull the fibration back along an arbitrary map into the base space. Does the pullback fibration enjoy the same property? ...

Springer-Verlag Italia Srl2015

Erratum for “Galois algebras, Hasse principle and induction-restriction methods” (vol 16, pg 677, 2011)

Eva Bayer Fluckiger

This is a correction to [BP 11] E. Bayer-Fluckiger, R. Parimala, Galois algebras, Hasse principle and induction-restriction methods, Documenta Math. 16 (2011), 677-707. ...

Univ Bielefeld2013

Splitting fields of conics and sums of squares of rational functions

David Maximilian Grimm

Given a geometrically unirational variety over an infinite base field, we show that every finite separable extension of the base field that splits the variety is the residue field of a closed point. As an application, we obtain a characterization of functi ...

Springer-Verlag2013

The valuation criterion for normal basis generators

If L/K is a finite Galois extension of local fields, then we say that the valuation criterion VC(L/K) holds if there is an integer d such that every element x is an element of L with valuation d generates a normal basis for L/K. Answering a question of Byo ...

2012

A Drug Administration Decision Support System

Giovanni De Micheli, Alena Simalatsar, Wenqi You Dubout

Drug delivery is one of the most common clinical routines in hospitals, and is critical to patients’ health and recovery. It includes a decision making process in which a medical doctor decides the amount (dose) and frequency (dose interval) on the basis o ...

2012

Modelling human movement in cholera spreading along fluvial systems

Andrea Rinaldo, Enrico Bertuzzo, Lorenzo Righetto

We propose an important extension of a previously studied, spatially explicit and hydrology-driven, model of cholera spreading. Our reformulation concerns the role of different modelizations of human movement on the overall dynamics of the epidemics, which ...

2011

Control of axisymmetric vortex breakdown in a constricted pipe: Nonlinear steady states and weakly nonlinear asymptotic expansions

François Gallaire, Philippe Meliga

The present paper investigates numerically and theoretically the axisymmetric vortex breakdown occurring in a constricted pipe of infinite extension, i.e., the transition from a smooth columnar state to a breakdown state exhibiting a recirculation bubble. ...

2011

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Erik Jarl Pickett

Let

F/E

be a finite Galois extension of fields with abelian Galois group

\Gamma

. A self-dual normal basis for

F/E

is a normal basis with the additional property that

Tr_{F/E}(g(x),h(x))=\delta_{g,h}

for

g,h\in\Gamma

. Bayer-Fluckiger and Lenstra h ...

2010

Singularities of generic characteristic polynomials and smooth finite splittings of Azumaya algebras over surfaces

Manuel Ojanguren

Let k be an algebraically closed field. Let P(X-11,...,X-nn, T) be the characteristic polynomial of the generic matrix (X-ij) over k. We determine its singular locus as well as the singular locus of its Galois splitting. If X is a smooth quasi-projective s ...

Springer-Verlag2009

On the Construction of Galois Towers

In this paper we study an asymptotically optimal tame tower over the field with p(2) elements introduced by Garcia-Stichtenoth. This tower is related with a modular tower, for which explicit equations were given by Elkies. We use this relation to investiga ...

American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa2009