Projective varieties invariant by one-dimensional foliations

DOI10.2307/2661388zbMath0983.32024arXivmath/0009253OpenAlexW2116763477MaRDI QIDQ1840448

Márcio G. Soares

Publication date: 14 May 2001

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009253

zbMATH Keywords

one-dimensional holomorphic foliations

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (12)

Foliations with isolated singularities on Hirzebruch surfaces ⋮ On foliations by curves with singularities of positive dimension ⋮ Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces ⋮ Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ Characteristic numbers and invariant subvarieties for projective webs ⋮ Vector fields and a family of linear type modules related to free divisors ⋮ The Poincaré problem, algebraic integrability and dicritical divisors ⋮ The local Poincaré problem for irreducible branches ⋮ On the geometry of Poincaré's problem for one-dimensional projective foliations ⋮ The polar family of webs and foliations ⋮ On degrees of logarithmic vector fields of certain schemes ⋮ A class of polynomial planar vector fields with polynomial first integral

This page was built for publication: Projective varieties invariant by one-dimensional foliations