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Foliations invariant by rational maps

2010; Springer Science+Business Media; Volume: 268; Issue: 3-4 Linguagem: Inglês

10.1007/s00209-010-0693-6

1432-1823

Charles Favre, Jorge Vitório Pereira,

Advanced Differential Equations and Dynamical Systems

We give a classification of pairs $${(\mathcal{F}, \phi)}$$ where $${\mathcal{F}}$$ is a holomorphic foliation on a projective surface and $${\phi}$$ is a non-invertible dominant rational map preserving $${\mathcal{F}}$$ .