Degree of an algebraic solution of a \(d\)-web in the complex projective plane

DOI10.1016/j.crma.2010.01.004zbMath1184.14013OpenAlexW2087063487MaRDI QIDQ2269667

El Hadji Cheikh Mbacké Diop

Publication date: 17 March 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.01.004

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Global theory of complex singularities; cohomological properties (32S20) Foliations in differential topology; geometric theory (57R30) Projective techniques in algebraic geometry (14N05) Pencils, nets, webs in algebraic geometry (14C21)

Cites Work

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• Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
• Some remarks on indices of holomorphic vector fields
• Bounds on leaves of one-dimensional foliations
• Number of singularities of a generic web on the complex projective plane
• The Poincaré problem in the nondicritical case
• Global study of webs on a holomorphic surface
• Chern classes of analytic sets
• On the geometry of Poincaré's problem for one-dimensional projective foliations
• On the Poincaré inequality for one-dimensional foliations

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