On the Poincare Problem for Foliations of General Type

Details On the Poincare Problem for Foliations of General Type On the Poincare Problem for Foliations of General Type

2001-04-18

arxiv.org/abs/math/0104185v1

Mathematische Annalen, 323 no. 2, pp.217-226, 2002

Mathematics

Dynamical Systems

Scientific paper

10.1007/s002080100277

Let F be a holomorphic foliation of general type on CP(2) which admits a rational first integral. We provide bounds for the degree of the first integral of F just in function of the degree, the birational invariants of F and the geometric genus of a generic leaf. Similar bounds for invariant algebraic curves are also obtained and examples are given showing the necessity of the hypothesis.

Affiliated with

Also associated with

No associations

Rating

On the Poincare Problem for Foliations of General Type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Poincare Problem for Foliations of General Type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Poincare Problem for Foliations of General Type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564537