A Riemann-Roch Theorem on Infinite Graphs

DOI10.1007/978-3-030-81976-7_9zbMath1504.35601arXiv2201.07710OpenAlexW4205641460MaRDI QIDQ5044592

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Publication date: 2 November 2022

Published in: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07710

zbMATH Keywords

Riemann-Roch theoreminfinite graphsLaplace operator on graphs

Mathematics Subject Classification ID

PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• Riemann-Roch theory for graph orientations
• Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.
• Chip-firing games, potential theory on graphs, and spanning trees
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• A Riemann-Roch theorem in tropical geometry
• Tropical Value Distribution Theory and Ultra-Discrete Equations
• A Riemann-Roch theorem for edge-weighted graphs
• Theory of Abelican integrals and its applications to conformal mappings
• A discrete analogue of the harmonic morphism and green kernel comparison theorems

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