a1 School of Mathematical Sciences, Fudan University, Shanghai 200433, PR of China (email: email@example.com)
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.
(Received December 23 2008)
2000 Mathematics subject classification
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The research was supported by the National Natural Science Foundation of China Grant 10871047.