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A Big Picard Theorem for Holomorphic Maps into Complex Projective Space

  Published:2009-03-01
 Printed: Mar 2009
  • Yasheng Ye
  • Min Ru
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Abstract

We prove a big Picard type extension theorem for holomorphic maps $f\from X-A \rightarrow M$, where $X$ is a complex manifold, $A$ is an analytic subvariety of $X$, and $M$ is the complement of the union of a set of hyperplanes in ${\Bbb P}^n$ but is not necessarily hyperbolically imbedded in ${\Bbb P}^n$.
MSC Classifications: 32H30 show english descriptions Value distribution theory in higher dimensions {For function-theoretic properties, see 32A22} 32H30 - Value distribution theory in higher dimensions {For function-theoretic properties, see 32A22}
 

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