Foliations invariant by rational maps

Details Foliations invariant by rational maps Foliations invariant by rational maps

2009-07-08

arxiv.org/abs/0907.1367v2

Mathematics

Complex Variables

17 pages. To appear in Math. Zeitshrift.

Scientific paper

We give a classification of pairs (F, f) where F is a holomorphic foliation
on a projective surface and f is a non-invertible dominant rational map
preserving F. We prove that both the map and the foliation are integrable in a
suitable sense.

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