Open Access
Fall and Winter 2016 On the classification of rational sphere maps
John P. D’Angelo
Illinois J. Math. 60(3-4): 869-890 (Fall and Winter 2016). DOI: 10.1215/ijm/1506067297

Abstract

We prove a new classification result for (CR) rational maps from the unit sphere in some $\mathbb{C}^{n}$ to the unit sphere in $\mathbb{C}^{N}$. To do so, we work at the level of Hermitian forms, and we introduce ancestors and descendants.

Citation

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John P. D’Angelo. "On the classification of rational sphere maps." Illinois J. Math. 60 (3-4) 869 - 890, Fall and Winter 2016. https://doi.org/10.1215/ijm/1506067297

Information

Received: 11 February 2017; Revised: 17 May 2017; Published: Fall and Winter 2016
First available in Project Euclid: 22 September 2017

zbMATH: 1381.32008
MathSciNet: MR3707643
Digital Object Identifier: 10.1215/ijm/1506067297

Subjects:
Primary: 32H35 , 32M99 , 51F25

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

Vol.60 • No. 3-4 • Fall and Winter 2016
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