Surface branched covers and geometric 2-orbifolds

DOI10.1090/S0002-9947-09-04779-5zbMath1181.57002arXiv0709.2026OpenAlexW2095450306MaRDI QIDQ3642697

Carlo Petronio, Maria Antonietta Pascali

Publication date: 6 November 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2026

zbMATH Keywords

branched coversHurwitz existence problem2-orbifold covers

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (10)

Explicit computation of some families of Hurwitz numbers ⋮ Realizations of certain odd-degree surface branch data ⋮ Almost-regular dessins d'enfant on a torus and sphere ⋮ Explicit computation of some families of Hurwitz numbers. II ⋮ On certain permutation groups and sums of two squares ⋮ Branched covers of the sphere and the prime-degree conjecture ⋮ Spherical conic metrics and realizability of branched covers ⋮ Minimum degree of the difference of two polynomials over~\({\mathbb Q}\), and weighted plane trees ⋮ Modular groups, Hurwitz classes and dynamic portraits of NET maps ⋮ The Hurwitz existence problem for surface branched covers

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