Two-Variable Zeta-Functions on Graphs and Riemann–Roch Theorems

DOI10.1093/imrn/rnr227zbMath1286.14036OpenAlexW2074094342MaRDI QIDQ3143928

Dino J. Lorenzini

Publication date: 6 December 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnr227

zbMATH Keywords

grapharithmetic graphtwo-variable zeta functionRiemann Roch Theorem

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Riemann-Roch theorems (14C40) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (6)

Abelian networks. III: The critical group ⋮ Gluing of graphs and their Jacobians ⋮ The critical polynomial of a graph ⋮ Commutative algebra of generalised Frobenius numbers ⋮ Chip-Firing and Riemann-Roch Theory for Directed Graphs ⋮ On computation of Baker and Norine's rank on complete graphs

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