Abstract
For a proper holomorphic map F from a ball Bn into another ball BN, we give a criterion when a rational map F is equivalent to a polynomial one. As application, we show that proper rational holomorphic maps from B2 into BN of degree two are equivalent to polynomial maps, and we also give an example of a rational holomorphic maps of degree 3 that are 'almost' linear but are not equivalent to holomorphic polynomial maps.
Original language | English (US) |
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Pages (from-to) | 829-842 |
Number of pages | 14 |
Journal | Pure and Applied Mathematics Quarterly |
Volume | 6 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2010 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Criterion
- Equivalent
- Maps between balls
- Polynomial maps
- Proper holomorphic maps
- Rational maps