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/