Kirchhoff’s theorem for Prym varieties

DOI10.1017/fms.2021.75zbMath1487.14136arXiv2012.15235OpenAlexW4213120408MaRDI QIDQ5072195

Dmitry V. Zakharov, Yoav Len

Publication date: 25 April 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.15235

zbMATH Keywords

Ihara zeta functiontropical Prym varietyAbel-Prym map

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Jacobians, Prym varieties (14H40)

Related Items (2)

Critical groups of strongly regular graphs and their generalizations ⋮ Abelian tropical covers

Cites Work

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• Critical groups of covering, voltage and signed graphs
• A simple characteristic-free proof of the Brill-Noether theorem
• Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić)
• Metric properties of the tropical Abel-Jacobi map
• A Riemann singularities theorem for Prym theta divisors, with applications.
• The structure of the Prym map
• Sur l'anneau de Chow d'une variété abélienne
• Degenerations of Prym varieties and intersections of three quadrics
• Signed graphs
• Prym varieties and Schottky problem
• Moduli of representations of the fundamental group of a smooth projective variety. I
• A note on the zeta function of a graph
• Zeta functions of finite graphs and coverings. II
• Non-Archimedean and tropical theta functions
• Enumerative geometry of elliptic curves on toric surfaces
• A hyper-Kähler compactification of the intermediate Jacobian fibration associated with a cubic 4-fold
• Tropicalization of theta characteristics, double covers, and Prym varieties
• Chip-firing games, potential theory on graphs, and spanning trees
• Zeta functions of finite graphs and coverings
• Zeta functions of edge-free quotients of graphs
• Skeletons of Prym varieties and Brill-Noether theory
• On the locus of Prym curves where the Prym-canonical map is not an embedding
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• The intermediate Jacobian of the cubic threefold
• Brill-Noether theory for cyclic covers
• Compactifying the relative Jacobian over families of reduced curves
• Book Review: Zeta functions of graphs: a stroll through the garden
• Green's conjecture for general covers
• The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves: Fig. 1.
• A New Proof of the Ran-Matsusaka Criterion for Jacobians
• Double covers of graphs
• Universal Properties of Prym Varieties With an Application to Algebraic Curves of Genus Five
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• THE IHARA-SELBERG ZETA FUNCTION OF A TREE LATTICE
• Degenerations of Prym varieties
• The locus of indeterminacy of the Prym map
• A Note on Brill–Noether Theory and Rank-Determining Sets for Metric Graphs
• RECURSIVE COMBINATORIAL ASPECTS OF COMPACTIFIED MODULI SPACES
• GEOMETRIC BIJECTIONS FOR REGULAR MATROIDS, ZONOTOPES, AND EHRHART THEORY
• Tropical Eigenwave and Intermediate Jacobians
• CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM
• Prym–Brill–Noether Loci of Special Curves

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