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

Abstract

We show that an $n$-dimensional compact Kähler manifold $X$ admitting a non-degenerate meromorphic map $f:{\mathbf{C}}^n\to X$ of order ${\rho }_f<2$ is rationally connected.

9 pages, LaTeX