On algebraic sets invariant by one-dimensional foliations on $𝐂P\left(3\right)$

Soares, Marcio G.. "On algebraic sets invariant by one-dimensional foliations on ${\bf C}P(3)$." Annales de l'institut Fourier 43.1 (1993): 143-162. <http://eudml.org/doc/74985>.

@article{Soares1993,
abstract = {We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on $\{\bf C\} P(2)$ without algebraic solutions to the case of foliations by curves on $\{\bf C\} P(3)$. We give an example of a foliation on $\{\bf C\} P(3)$ with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.},
author = {Soares, Marcio G.},
journal = {Annales de l'institut Fourier},
keywords = {foliations by curves on },
language = {eng},
number = {1},
pages = {143-162},
publisher = {Association des Annales de l'Institut Fourier},
title = {On algebraic sets invariant by one-dimensional foliations on $\{\bf C\}P(3)$},
url = {http://eudml.org/doc/74985},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Soares, Marcio G.
TI - On algebraic sets invariant by one-dimensional foliations on ${\bf C}P(3)$
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 1
SP - 143
EP - 162
AB - We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on ${\bf C} P(2)$ without algebraic solutions to the case of foliations by curves on ${\bf C} P(3)$. We give an example of a foliation on ${\bf C} P(3)$ with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.
LA - eng
KW - foliations by curves on
UR - http://eudml.org/doc/74985
ER -