Abstract

For given 2n+1 hyperplanes with moving targets in pointwise general position and any holomorphic map f from into a n-dimensional complex projective space omitting those 2n+1 hyperplanes, we show that there exist finitely many (n+1)×(n+1) everywhere invertible matrices with entire holomorphic functions as entries such that the holomorphic map f multiplied by one of the matrices becomes constant. In addition, this set of matrices depends only on the hyperplanes, and can be determined effectively.

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