Linear Pullback Components of the Space of Codimension One Foliations.

The space of holomorphic foliations of codimension one and degree d ≥ 2 in P n ( n ≥ 3 ) has an irreducible component whose general element can be written as a pullback F ∗ F , where F is a general foliation of degree d in P 2 and F : P n ⤏ P 2 is a general rational linear map. We give a polynomial formula for the degrees of such components. [ABSTRACT FROM AUTHOR]