真有理映射等价于真多项式映射的一个判据
A criterion for a proper rational map to be equivalent to a proper polynomial map
摘要：
本文给出了球间有理全纯映射等价于多项式全纯映射的一个显式判据。利用这一准则，我们证明了从B^2到B^N的任意二次真有理全纯映射等价于多项式全纯映射;我们还构造了几乎线性但不等价于多项式全纯映射的三次有理全纯映射。
英文摘要：
In this paper, we give an explicit criterion when a rational holomorphic map between balls is equivalent to a polynomial holomorphic map. Making use of this criterion, we show that any proper rational holomorphic map from B^2 into B^N of degree two is equivalent to a polynomial holomorphic map; we also construct rational holomorphic maps of degree 3 that are almost linear but are not equivalent to polynomial holomorphic maps.
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