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

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dc.creatorHuang, Xiaojun
dc.creatorJi, Shanyu
dc.creatorZhang, Yuan
dc.date2007-10-25
dc.date2007-10-26
dc.date.accessioned2026-07-07T08:38:32Z
dc.date.available2026-07-07T08:38:32Z
dc.descriptionIn 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.
dc.description13 pages. Dedicated to Professor J. Kohn on the occasion of his 75th birthday
dc.identifierhttps://arxiv.org/abs/0710.4597
dc.identifierhttp://arxiv.org/abs/0710.4597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140765
dc.subjectComplex Variables
dc.titleA criterion for a proper rational map to be equivalent to a proper polynomial map
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