A Poincaré type inequality for one-dimensional multiprojective foliations

DOI10.1007/s00574-011-0026-3zbMath1272.32030OpenAlexW2006670864MaRDI QIDQ2392911

Maurício Barros Corrêa Jr., Márcio G. Soares

Publication date: 5 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00574-011-0026-3

zbMATH Keywords

Poincaré inequalityholomorphic foliationsRiccati foliations

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65)

Related Items (5)

The Poincaré problem for foliations on compact toric orbifolds ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ GSV-index for holomorphic Pfaff systems ⋮ Residue formulas for logarithmic foliations and applications ⋮ Residues for maps generically transverse to distributions

Cites Work

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• Singularities of holomorphic foliations
• Determination of the top Baum-Bott number via classical intersection theory
• Polar classes associated with holomorphic distributions of tangent subspaces
• On the geometry of Poincaré's problem for one-dimensional projective foliations

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