Realizations of certain odd-degree surface branch data

DOI10.13137/2464-8728/30767zbMath1461.57008arXiv1903.10866MaRDI QIDQ4963475

Carlo Petronio

Publication date: 18 February 2021

Full work available at URL: https://arxiv.org/abs/1903.10866

zbMATH Keywords

dessins d'enfantsurface branched coverHurwitz realization problemmap on Riemann surface

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Arithmetic aspects of dessins d'enfants, Bely? theory (11G32) Dessins d'enfants theory (14H57)

Related Items

The Hurwitz existence problem for surface branched covers

Cites Work

• Unnamed Item
• Unnamed Item
• Nonequivalent coverings of Riemann surfaces with a prescribed ramification type
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Enumerating branched coverings over surfaces with boundaries
• Distributions of regular branched surface coverings.
• Explicit computation of some families of Hurwitz numbers
• The Hurwitz enumeration problem of branched covers and Hodge integrals
• On certain permutation groups and sums of two squares
• Branched covers of the sphere and the prime-degree conjecture
• Enumeration of branched coverings of closed orientable surfaces whose branch orders coincide with multiplicity
• Realizability and exceptionality of candidate surface branched covers: methods and results
• SOLUTION OF THE HURWITZ PROBLEM FOR LAURENT POLYNOMIALS
• Surface branched covers and geometric 2-orbifolds
• Realizability of Branched Coverings of Surfaces
• On Rational Functions with More than Three Branch Points
• Counting surface branched covers
• Enumeration of Branched Coverings of Nonorientable Surfaces With Cyclic Branch Points

This page was built for publication: Realizations of certain odd-degree surface branch data