Enveloppe galoisienne d'une application rationnelle de P1.

Guy Casale

Publicacions Matemàtiques (2006)

  • Volume: 50, Issue: 1, page 191-202
  • ISSN: 0214-1493

Abstract

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In 2001, B. Malgrange defines the D-envelope or galoisian envelope of an analytical dynamical system. Roughly speaking, this is the algebraic hull of the dynamical system. In this short article, the D-envelope of a rational map R: P1 --> P1 is computed. The rational maps characterised by a finitness property of their D-envelope appear to be the integrable ones.

How to cite

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Casale, Guy. "Enveloppe galoisienne d'une application rationnelle de P1.." Publicacions Matemàtiques 50.1 (2006): 191-202. <http://eudml.org/doc/41577>.

@article{Casale2006,
author = {Casale, Guy},
journal = {Publicacions Matemàtiques},
keywords = {Sistemas dinámicos complejos; Grupoides; G-estructura; holomorphic dynamics; Lie groupoid},
language = {fre},
number = {1},
pages = {191-202},
title = {Enveloppe galoisienne d'une application rationnelle de P1.},
url = {http://eudml.org/doc/41577},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Casale, Guy
TI - Enveloppe galoisienne d'une application rationnelle de P1.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 1
SP - 191
EP - 202
LA - fre
KW - Sistemas dinámicos complejos; Grupoides; G-estructura; holomorphic dynamics; Lie groupoid
UR - http://eudml.org/doc/41577
ER -

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