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arXiv:1609.03482 [math.NT]AbstractReferencesReviewsResources

On rational functions whose normalization has genus zero or one

Fedor Pakovich

Published 2016-09-12Version 1

We give a complete list of rational functions $A$ such that the genus $g$ of the Galois closure of $\mathbb C(z)/\mathbb C(A)$ equals zero. We also provide a geometric description of $A$ for which $g=1.$

Categories: math.NT
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