On a general difference Galois theory II

Shuji Morikawa[1]; Hiroshi Umemura[1]

  • [1] Nagoya University Graduate School of Mathematics Nagoya (Japan)

Annales de l’institut Fourier (2009)

  • Volume: 59, Issue: 7, page 2733-2771
  • ISSN: 0373-0956

Abstract

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We apply the General Galois Theory of difference equations introduced in the first part to concrete examples. The General Galois Theory allows us to define a discrete dynamical system being infinitesimally solvable, which is a finer notion than being integrable. We determine all the infinitesimally solvable discrete dynamical systems on the compact Riemann surfaces.

How to cite

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Morikawa, Shuji, and Umemura, Hiroshi. "On a general difference Galois theory II." Annales de l’institut Fourier 59.7 (2009): 2733-2771. <http://eudml.org/doc/10470>.

@article{Morikawa2009,
abstract = {We apply the General Galois Theory of difference equations introduced in the first part to concrete examples. The General Galois Theory allows us to define a discrete dynamical system being infinitesimally solvable, which is a finer notion than being integrable. We determine all the infinitesimally solvable discrete dynamical systems on the compact Riemann surfaces.},
affiliation = {Nagoya University Graduate School of Mathematics Nagoya (Japan); Nagoya University Graduate School of Mathematics Nagoya (Japan)},
author = {Morikawa, Shuji, Umemura, Hiroshi},
journal = {Annales de l’institut Fourier},
keywords = {General difference Galois theory; dynamical system; integrable dynamical system; Galois groupoid; difference Galois theory; discrete dynamical system},
language = {eng},
number = {7},
pages = {2733-2771},
publisher = {Association des Annales de l’institut Fourier},
title = {On a general difference Galois theory II},
url = {http://eudml.org/doc/10470},
volume = {59},
year = {2009},
}

TY - JOUR
AU - Morikawa, Shuji
AU - Umemura, Hiroshi
TI - On a general difference Galois theory II
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 7
SP - 2733
EP - 2771
AB - We apply the General Galois Theory of difference equations introduced in the first part to concrete examples. The General Galois Theory allows us to define a discrete dynamical system being infinitesimally solvable, which is a finer notion than being integrable. We determine all the infinitesimally solvable discrete dynamical systems on the compact Riemann surfaces.
LA - eng
KW - General difference Galois theory; dynamical system; integrable dynamical system; Galois groupoid; difference Galois theory; discrete dynamical system
UR - http://eudml.org/doc/10470
ER -

References

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