Concepedia

Algebraic solutions of one-dimensional foliations

Alcides Lins Neto, Márcio G. Soares

Journal of Differential Geometry · 1996 · 63 citations · 3 references

DOIFull text

Open access

Concepts

Abstract

In this article we consider the problem of extending the result of J.P.Jouanolou on the density of singular holomorphic foliations on CP(2) without algebraic solutions to the case of foliations by curves of CP(n).

References

3

Singularities of holomorphic foliations

Paul Baum, Raoul Bott · Journal of Differential Geometry · 1972 · 218 citations · Full text

, , +7

Topological invariants and equidesingularization for holomorphic vector fields

César Camacho, Alcides Lins Neto, Paulo Sad · Journal of Differential Geometry · 1984 · 170 citations

, , +12

Holomorphic foliations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ℂ</mml:mi> <mml:mi>ℙ</mml:mi> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> having an invariant algebraic curve

Dominique Cerveau, Alcides Lins Neto · Annales de l’institut Fourier · 1991 · 121 citations · Full text

, , +9