On geometrically finite branched coverings∗ II. Realization of rational maps†
نویسندگان
چکیده
Following the first part of our research, we prove in this paper that a sub-hyperbolic semi-rational map with infinite post-critical set is combinatorially and locally holomorphically equivalent to a rational map if and only if it has no Thurston obstruction. Moreover, the rational map is unique up to holomorphic conjugation.
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