The general element of a pencil of Cod 1 foliation in CP(3) either has an invariant surface or contains a subfoliation by algebraic curves.
@article{urn:eudml:doc:41459,
title = {Pinceaux lin\'eaires de feuilletages sur CP(3) et conjecture de Brunella.},
journal = {Publicacions Matem\`atiques},
volume = {46},
year = {2002},
pages = {441-451},
mrnumber = {MR1934363},
zbl = {1023.32017},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41459}
}
Cerveau, Dominique. Pinceaux linéaires de feuilletages sur CP(3) et conjecture de Brunella.. Publicacions Matemàtiques, Tome 46 (2002) pp. 441-451. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41459/