Sheaves associated to holomorphic first integrals.

DOI10.5802/aif.1778zbMath1063.37044OpenAlexW2074522585MaRDI QIDQ1572637

Alexis García Zamora

Publication date: 19 July 2000

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_3_909_0

zbMATH Keywords

first integralsholomorphic foliations

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Dynamical aspects of holomorphic foliations and vector fields (37F75) Curves in algebraic geometry (14H99)

Related Items (6)

Foliations with isolated singularities on Hirzebruch surfaces ⋮ Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces ⋮ On the slope of non-algebraic holomorphic foliations ⋮ The Poincaré problem, algebraic integrability and dicritical divisors ⋮ UNIPOTENT REDUCTION AND THE POINCARÉ PROBLEM ⋮ A class of polynomial planar vector fields with polynomial first integral

Cites Work

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• Foliations in algebraic surfaces having a rational first integral
• Feuilletages holomorphes sur les surfaces complexes compactes
• Reduction of Singularities of the Differential Equation Ady = Bdx

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