Riemann-Hurwitz theorem and Riemann-Roch theorem for hypermaps

DOI10.1007/s10801-023-01285-9MaRDI QIDQ6154425

Mengnan Cheng, Ting-Bin Cao

Publication date: 15 February 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Riemann-Roch theoremhypermapsRiemann-Hurwitz theorem

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Coloring of graphs and hypergraphs (05C15) Combinatorial aspects of algebraic geometry (05E14)

Cites Work

• Unnamed Item
• Riemann-Roch theory for weighted graphs and tropical curves
• A Riemann-Roch theorem for hypermaps
• Operations on hypermaps, and outer automorphisms
• Regular hypermaps
• Hypermaps versus bipartite maps
• Hypermaps on surfaces with boundary
• Algebraic hypermap morphisms
• Maps, hypermaps and their automorphisms: A survey. I
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Complex Analytic Mappings of Riemann Surfaces I
• Harmonic Morphisms and Hyperelliptic Graphs
• FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY
• Theory of Maps on Orientable Surfaces
• Nevanlinna Theory and Its Relation to Diophantine Approximation
• Uniqueness results for algebraic and holomorphic curves into ℙn(ℂ)

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