ℤ/rℤ-equivariant covers of ℙ1 with moving ramification

• Published in: Israel journal of mathematics Vol. 253; no. 1; pp. 487 - 500
• Main Authors: Lian, Carl, Moschetti, Riccardo
• Format: Journal Article
• Language: English
• 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

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.