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arXiv · 2105.04586

Z/rZ-equivariant covers of P^1 with moving ramification

Carl Lian·Riccardo Moschetti
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Abstract

Let X -> P^1 be a general cyclic cover. We give a simple formula for the number of equivariant meromorphic functions on X subject to ramification conditions at variable points. This generalizes and gives a new proof of a recent result of the second author and Pirola on hyperelliptic odd covers.

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Carl Lian, Riccardo Moschetti. 2021-05-10. Z/rZ-equivariant covers of P^1 with moving ramification. https://arxiv.org/abs/2105.04586

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