Abstract: The space of holomorphic foliation on CP3 of codimension one and degree s is an algebraic variety, but its irreducible components are known only for degrees 0,1 and 2.
The singular set of a foliation on CP3 has dimension one, therefore the simplest singular set is a line. It is interesting to classify this type of foliations for proving some conjectures and to say something about the irreducible components. The objective of the talk is to give a summary of the known irreducible components, and to give some results about the classification of foliation with a line as a singular set. This is a joint work with D. Cerveau. ...