Differential Galois realization of double covers

Crespo, Teresa; Hajto, Zbigniew

doi:10.5802/aif.1908

Differential Galois realization of double covers
[Réalisation galoisienne différentielle de revêtements doubles]

Crespo, Teresa ¹ ; Hajto, Zbigniew ²

¹ Universitat de Barcelona, Departament d'Àlgebra i Geometria, Gran via de les Corts Catalanes 585, 08007 Barcelona (Espagne)
² Akademia Rolnicza, Zaklad Matematyki, al. Mickiewicza 24/28, 30-059 Kraków (Pologne)

Annales de l'Institut Fourier, Tome 52 (2002) no. 4, pp. 1017-1025.

Résumé
Abstract

Nous présentons une construction effective d’équations différentielles linéaires homogènes d’ordre 2 à groupe de Galois $2 A_{4}, 2 S_{4}$ ou $2 A_{5}$ .

An effective construction of homogeneous linear differential equations of order 2 with Galois group $2 A_{4}, 2 S_{4}$ or $2 A_{5}$ is presented.

MR Zbl

DOI : 10.5802/aif.1908

Classification : 12H05, 11F80, 12F12
Keywords: Picard-Vessiot extension, symmetric square of a differential equation, group representations
Mot clés : extension de Picard-Vessiot, carré symétrique d'une équation différentielle, représentations de groupes

Affiliations des auteurs :

Crespo, Teresa ¹ ; Hajto, Zbigniew ²

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     title = {Differential {Galois} realization of double covers},
     journal = {Annales de l'Institut Fourier},
     pages = {1017--1025},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {52},
     number = {4},
     year = {2002},
     doi = {10.5802/aif.1908},
     mrnumber = {1926670},
     zbl = {1017.12005},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1908/}
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Crespo, Teresa; Hajto, Zbigniew. Differential Galois realization of double covers. Annales de l'Institut Fourier, Tome 52 (2002) no. 4, pp. 1017-1025. doi : 10.5802/aif.1908. http://www.numdam.org/articles/10.5802/aif.1908/

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