Rational connectedness and order of non-degenerate meromorphic maps from \bf Cⁿ

2014/12/14 by Frédéric Campana, Campana, Frédéric, Jörg Winkelmann +1
Mathematics · #14M22 #32H30 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #math.AG #math.CV #msc:14M22 #msc:32H30

paper · pdf · doi:10.48550/arxiv.1412.4381

9 pages, LaTeX

arxiv created 2014/12/14 · openalex publication_date 2014/12/14 · arxiv updated 2014/12/16 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We show that an n-dimensional compact Kähler manifold X admitting a non-degenerate meromorphic map f:\bf Cⁿ→ X of order ρ_f<2 is rationally connected.

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