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Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) (French) Zbl 0813.12004

Séminaire Bourbaki, Vol. 1991/92. Exposés 745-759 (avec table par noms d’auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France, Astérisque. 206, 183-204 (Exp. No. 750) (1992).
There are several approaches to the differential Galois theory. In the paper this theory is treated from different points of view: the geometric one, based on the monodromy group; the analytic one, based on the group of Stokes; the algebraic and arithmetic ones, developed by N. Katz.
For the entire collection see [Zbl 0772.00016].

MSC:

12H05 Differential algebra
12F10 Separable extensions, Galois theory
34A30 Linear ordinary differential equations and systems
12F20 Transcendental field extensions
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