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Reduction of Zieve's Conjecture on the Hurwitz problem to Three Branch Points

Liu, Xitaiyu et al.
arXiv (All) · Papers
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differential-geometry
M. E. Zieve conjectured that a candidate datum over the sphere is realizable whenever the gcd of the parts of every branch partition is one and it satisfies the lcm condition. We prove that this conjecture reduces to its three-branch-point case. More precisely, if every Zieve-admissible triple is re
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