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ISSN 1088-6850(e) ISSN 0002-9947(p)

Sur les integrales premieres dans la classe de Nilsson d'equations differentielles holomorphes

Author(s): Frédéric Touzet
Journal: Trans. Amer. Math. Soc. 352 (2000), 1601-1622.
MSC (1991): Primary 32-XX
Posted: December 7, 1999
MathSciNet review: 1675242
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Abstract: We study two classes of holomorphic differential equations. The first one is constitued by elements admitting solutions defined in an algebraic way (the so called Liouville class) and the second of elements admitting solutions defined in an analytic way (the Nilsson class). We build up links between these two classes using special properties of the holonomy and its results on the monodromy.

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