ℤ/rℤ-equivariant covers of ℙ1 with moving ramification

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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Bibliographic Details
Published inIsrael journal of mathematics Vol. 253; no. 1; pp. 487 - 500
Main Authors Lian, Carl, Moschetti, Riccardo
Format Journal Article
LanguageEnglish
Published Jerusalem The Hebrew University Magnes Press 01.03.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Meromorphic functions
Theoretical
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-022-2387-2