Harmonic Morphisms and Hyperelliptic Graphs
From MaRDI portal
Publication:3395256
DOI10.1093/imrn/rnp037zbMath1178.05031arXiv0707.1309OpenAlexW2962881705MaRDI QIDQ3395256
Serguei Norine, Matthew H. Baker
Publication date: 24 August 2009
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.1309
Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items
Bitangents of tropical plane quartic curves, Algebraic rank on hyperelliptic graphs and graphs of genus 3, On Jacobian group and complexity of the generalized Petersen graph \(\mathrm{GP}(n,k)\) through Chebyshev polynomials, The distribution of sandpile groups of random graphs, Theta characteristics of hyperelliptic graphs, Two Moore’s Theorems for Graphs, Sandpile monomorphisms and limits, Lifting matroid divisors on tropical curves, Harmonic morphisms of graphs and the Riemann-Hurwitz theorem, A metric graph satisfying \(w_4^1 = 1\) that cannot be lifted to a curve satisfying \(\dim (W_4^1 ) = 1\), On the structure of the Jacobian group for circulant graphs, On the Farkas and Accola theorems for graphs, Graph invariants and the positivity of the height of the Gross-Schoen cycle for some curves, 3-connected reduction for regular graph covers, Combinatorial and inductive methods for the tropical maximal rank conjecture, Chip-firing groups of iterated cones, Klein Four Actions on Graphs and Sets, Applying the Kirchhoff relations in proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs, A chip-firing game on the product of two graphs and the tropical Picard group, Treewidth and gonality of glued grid graphs, A Riemann-Hurwitz formula for skeleta in non-Archimedean geometry, Riemann-Roch theory for weighted graphs and tropical curves, On discrete versions of two Accola's theorems about automorphism groups of Riemann surfaces, Critical groups of covering, voltage and signed graphs, Problems hard for treewidth but easy for stable gonality, On tropical Clifford's theorem, Tropical hyperelliptic curves, Multiplicity-free gonality on graphs, On the Jacobian group of a cone over a circulant graph, Gonality of complete graphs with a small number of omitted edges, The non-\(\ell\)-part of the number of spanning trees in abelian \(\ell\)-towers of multigraphs, The special value 𝑢=1 of Artin-Ihara 𝐿-functions, A novel count of the spanning trees of a cube, Riemann-Hurwitz theorem and Riemann-Roch theorem for hypermaps, A Torelli theorem for graph isomorphisms, On the structure of the critical group of a circulant graph with non-constant jumps, Cyclic coverings of graphs. Counting rooted spanning forests and trees, Kirchhoff index, and Jacobians, A tropical proof of the Brill-Noether theorem, Wall-crossing and recursion formulae for tropical Jucys covers, Abelian tropical covers, Treewidth is a lower bound on graph gonality, Tropical curves and covers and their moduli spaces, On metric graphs with prescribed gonality, Chip-Firing Games and Critical Groups, The Geometric Spectrum of a Graph and Associated Curvatures, A Riemann-Roch theorem for hypermaps, Critical groups of graphs with dihedral actions, Unnamed Item, Jacobians of nearly complete and threshold graphs, On the gonality of Cartesian products of graphs, On Jacobian group and complexity of I-graph I(n, k, l) through Chebyshev polynomials, Catalan-many tropical morphisms to trees. Part I: Constructions, On the sandpile group of the cone of a graph, On abelian \(\ell\)-towers of multigraphs, Generators of invariant linear system on tropical curves for finite isometry group, Algebraic Properties of Generalized Graph Laplacians: Resistor Networks, Critical Groups, and Homological Algebra, Variation of Tamagawa numbers of Jacobians of hyperelliptic curves with semistable reduction, Tropical geometry of genus two curves, A note on Brill-Noether existence for graphs of low genus, ``Almost divisibility in the Ihara zeta functions of certain ramified covers of \(q+1\)-regular graphs, A combinatorial Li-Yau inequality and rational points on curves, Brill-Noether theory of maximally symmetric graphs, Computing graph gonality is hard, Twistor theory on a finite graph, Graphs of gonality three, Recognizing hyperelliptic graphs in polynomial time, Fixed points of cyclic groups acting purely harmonically on a graph, On automorphisms of graphs and Riemann surfaces acting with fixed points, Critical groups of graphs with dihedral actions. II., Combinatorial iterated integrals and the harmonic volume of graphs, Maximal harmonic group actions on finite graphs, Constructing tree decompositions of graphs with bounded gonality, Constructing tree decompositions of graphs with bounded gonality, On the Oikawa and Arakawa theorems for graphs, Gonality Sequences of Graphs, Weierstrass sets on finite graphs, Semistable types of hyperelliptic curves, On the scramble number of graphs, Brill-Noether conjecture on cactus graphs, Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry, Discrete analogs of Farkas and Accola's theorems on hyperelliptic coverings of a Riemann surface of genus 2, On Wiman's theorem for graphs, Galois quotients of tropical curves and invariant linear systems, Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta, A generalization of Hurwitz' theorem for groups acting on a graph, On Laplacian Monopoles
