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Galois descent in Galois theories

Number Theory 2010-07-20 v1 Algebraic Geometry

Abstract

Inspired by Kummer theory on abelian varieties, we give similar looking descriptions of the Galois groups occuring in the differential Galois theories of Picard-Vessiot, Kolchin and Pillay, and mention some arithmetic applications.

Keywords

Cite

@article{arxiv.1007.3047,
  title  = {Galois descent in Galois theories},
  author = {Daniel Bertrand},
  journal= {arXiv preprint arXiv:1007.3047},
  year   = {2010}
}

Comments

25 pages