On a general difference Galois theory II
Shuji Morikawa, Hiroshi Umemura (2009)
Annales de l’institut Fourier
Similarity:
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.