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RATIONAL MAPS ADMITTING MEROMORPHIC INVARIANT LINE FIELDS

Published online by Cambridge University Press:  13 August 2009

XIAOGUANG WANG*
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai 200433, PR of China (email: wxg688@163.com)
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Abstract

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It is shown that a rational map of degree at least 2 admits a meromorphic invariant line field if and only if it is conformally conjugate to either an integral Lattès map, a power map, or a Chebyshev polynomial.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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