Rational connectedness and order of non-degenerate meromorphic maps from\ ${\bf C}^n$

Fr\'ed\'eric Campana; J\"org Winkelmann

arxiv: 1412.4381 · v1 · pith:PYJ7CYKBnew · submitted 2014-12-14 · 🧮 math.AG · math.CV

Rational connectedness and order of non-degenerate meromorphic maps from\ {bf C}^n

Fr\'ed\'eric Campana , J\"org Winkelmann This is my paper

classification 🧮 math.AG math.CV

keywords meromorphicnon-degenerateorderadmittingahlercompactconnectedconnectedness

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We show that an $n$-dimensional compact K\"ahler manifold $X$ admitting a non-degenerate meromorphic map $f:{\bf C}^n\to X$ of order $\rho_f<2$ is rationally connected.

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Rational connectedness and order of non-degenerate meromorphic maps from\ {bf C}^n

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