## Foliations invariant by rational maps

##### Authors
Favre, C.
Pereira, J. Vitorio
##### Description
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.
Comment: 17 pages. To appear in Math. Zeitshrift.
##### Keywords
Mathematics - Complex Variables, Mathematics - Algebraic Geometry