2009/07/08 by C. Favre, Favre, C., Jorge Vitório Pereira +2
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #math.CV
paper · pdf · doi:10.48550/arxiv.0907.1367
17 pages. To appear in Math. Zeitshrift.
openalex publication_date 2009/07/08 · arxiv created 2010/03/15 · arxiv updated 2010/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.