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Preprint Number 710

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710. Quentin Brouette and Francoise Point
Differential Galois Theory in the class of formally real fields

Submission date: 13 April 2014.


We study strongly normal extensions within the class of formally real fields. Assuming that the constant field is real closed, we show that the differential Galois groups are semi-algebraic. We prove a partial Galois correspondence.

Mathematics Subject Classification: 03C60, 12H05, 12L12, 12F10

Keywords and phrases:

Full text arXiv 1404.3338: pdf, ps.

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