Poincaré problem for weighted projective foliations

DOI10.1007/s00574-016-0003-yzbMath1375.32052arXiv1406.4160OpenAlexW3098744200MaRDI QIDQ2399634

A. Miguel Rodríguez, Fabio Enrique Brochero Martínez, Maurício Barros Corrêa Jr.

Publication date: 24 August 2017

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4160

zbMATH Keywords

Poincaré problemholomorphic foliationweighted projective space

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (3)

The Poincaré problem for foliations on compact toric orbifolds ⋮ On the density of foliations without algebraic solutions on weighted projective planes ⋮ Residue formulas for logarithmic foliations and applications

Cites Work

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• On the Poincaré problem for foliations of general type
• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• The Poincaré problem for hypersurfaces invariant by one-dimensional foliations
• Some remarks on indices of holomorphic vector fields
• Bounding the degree of solutions to Pfaff equations
• The Poincaré problem in the nondicritical case
• The Poincaré problem, algebraic integrability and dicritical divisors
• A note on Poincaré’s problem for quasi-homogeneous foliations
• Bounding Solutions of Pfaff Equations
• A Bott-Type Residue Formula on Complex Orbifolds
• Orbifold quantum cohomology of weighted projective spaces

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