On the Poincaré problem for foliations of general type

DOI10.1007/s002080100277zbMath1016.32013arXivmath/0104185OpenAlexW3102083525MaRDI QIDQ697317

Jorge Vitório Pereira

Publication date: 17 September 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104185

zbMATH Keywords

Poincaré problemfirst integralsholomorphic foliations

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30)

Related Items (19)

Foliations with isolated singularities on Hirzebruch surfaces ⋮ On birational boundedness of foliated surfaces ⋮ Poincaré problem for weighted projective foliations ⋮ The Poincaré problem for foliations on compact toric orbifolds ⋮ Bounds for sectional genera of varieties invariant under Pfaff fields ⋮ Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces ⋮ The Poincaré problem for reducible curves ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ On the slope of non-algebraic holomorphic foliations ⋮ The Poincaré problem, algebraic integrability and dicritical divisors ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory ⋮ The local Poincaré problem for irreducible branches ⋮ On invariance of plurigenera for foliations on surfaces ⋮ Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields ⋮ A note on Poincaré’s problem for quasi-homogeneous foliations ⋮ On degrees of logarithmic vector fields of certain schemes ⋮ UNIPOTENT REDUCTION AND THE POINCARÉ PROBLEM ⋮ Three chapters on Cremona groups ⋮ A class of polynomial planar vector fields with polynomial first integral

This page was built for publication: On the Poincaré problem for foliations of general type