On sigma-delta-Picard-Vessiot extensions

Details On sigma-delta-Picard-Vessiot extensions On sigma-delta-Picard-Vessiot extensions

2009-04-21

arxiv.org/abs/0904.3355v1

Mathematics

Commutative Algebra

12 pages

Scientific paper

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.

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