Sur les équations différentielles algébriques admettant des solutions avec une singularité essentielle. (On the algebraic differential equations having solutions with essential singularities).

DOI10.5802/aif.1868zbMath1116.14302OpenAlexW2324381569MaRDI QIDQ5956582

Marcos Sebastiani, Ivan Pan

Publication date: 21 February 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_6_1621_0

zbMATH Keywords

algebraic differential equationanalytic foliationessential singularities

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (3)

Construction of vector fields and Riccati foliations associated to groups of projective automorphisms ⋮ On complex codimension-one foliations transverse fibrations ⋮ Meromorphic vector fields with single-valued solutions on complex surfaces

Cites Work

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• Zur Theorie der Riccatischen Differentialgleichung
• Feuilletages holomorphes sur les surfaces complexes compactes
• Meromorphic solutions of algebraic differential equations
• Sur les fonctions à un nombre fini de branches satisfaisant à une équation différentielle du premier ordre

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