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Zbl 0813.12004
Bertrand, Daniel
Algebraic groups and linear differential equations. (Groupes algébriques et équations différentielles linéaires.) (French)
[A] 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.
[E.V.Pankrat'ev (Moskva)]

MSC 2000:: *12H05 Differential algebra
12F10 Galois theory
34A30 Linear ODE and systems
12F20 Transcendental extensions

Keywords: Picard-Vessiot extension; Stokes group; hypergeometric differential equations; differential Galois theory; monodromy group

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