On the geometry of Poincaré's problem for one-dimensional projective foliations

DOI10.1590/S0001-37652001000400001zbMath1008.32019MaRDI QIDQ2783602

Márcio G. Soares

Publication date: 17 June 2002

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

degreespolar classesone-dimensional holomorphic foliationsinvariant varieties

Mathematics Subject Classification ID

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

Related Items (6)

A Poincaré type inequality for one-dimensional multiprojective foliations ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ Characteristic numbers and invariant subvarieties for projective webs ⋮ Degree of an algebraic solution of a \(d\)-web in the complex projective plane ⋮ Polar Varieties Revisited ⋮ Local polar invariants for plane singular foliations

Cites Work

• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• The topology of complex projective varieties after S. Lefschetz
• The Poincaré problem for hypersurfaces invariant by one-dimensional foliations
• Some remarks on indices of holomorphic vector fields
• Projective varieties invariant by one-dimensional foliations
• The Poincaré problem in the nondicritical case
• Sur ĽintÉgration algÉbrique des Équations diffÉrentielles du premier ordre et du premier degrÉ
• Polar classes of singular varieties
• Singular Points of Complex Hypersurfaces. (AM-61)

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