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arXiv · 0710.4597

A criterion for a proper rational map to be equivalent to a proper polynomial map

Xiaojun Huang·Shanyu Ji·Yuan Zhang
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Abstract

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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Xiaojun Huang, Shanyu Ji, Yuan Zhang. 2007-10-26. A criterion for a proper rational map to be equivalent to a proper polynomial map. https://arxiv.org/abs/0710.4597

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