Let X → ℙ1 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.
ℤ/rℤ-equivariant covers of ℙ1 with moving ramification
Lian, Carl;Moschetti, Riccardo
2023-01-01
Abstract
Let X → ℙ1 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.File in questo prodotto:
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