On sigma-delta-Picard-Vessiot extensions
Commutative Algebra
2019-02-20 v1 Classical Analysis and ODEs
Abstract
We study the differential Galois theory of difference equations under weaker hypothesis on the field of constants of the automorphism. This framework yields a new approach to results by C.Hardouin and M.Singer, which answers possitively a question by M.Singer: under the classical hypothesis, the known results are still valid. In particular, our Galois group is isomorphic to theirs over a suitable field. We also explicitly calculate the number of connected components of the Galois group.
Cite
@article{arxiv.0904.3355,
title = {On sigma-delta-Picard-Vessiot extensions},
author = {Ana Peón-Nieto},
journal= {arXiv preprint arXiv:0904.3355},
year = {2019}
}
Comments
12 pages