Characterizing Jacobians via trisecants of the Kummer variety

DOI10.4007/annals.2010.172.485zbMath1215.14031arXivmath/0605625OpenAlexW1968460966MaRDI QIDQ990181

I. M. Krichever

Publication date: 6 September 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605625

zbMATH Keywords

Jacobian varietySchottky problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Jacobians, Prym varieties (14H40) Theta functions and curves; Schottky problem (14H42)

Related Items (14)

Theta divisors with curve summands and the Schottky problem ⋮ Determinantal characterization of canonical curves and combinatorial theta identities ⋮ Finite subschemes of abelian varieties and the Schottky problem ⋮ Monodromy free linear equations and many-body systems ⋮ Abelian pole systems and Riemann-Schottky-type problems ⋮ Schottky via the punctual Hilbert scheme ⋮ Supersymmetric Bethe ansatz and Baxter equations from discrete Hirota dynamics ⋮ FAY'S MATRIX IDENTITY FOR VECTOR BUNDLES ON A CURVE ⋮ Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants ⋮ Universality of Rank 6 Plücker relations and Grassmann cone preserving maps ⋮ Characterizations of Jacobians of curves with automorphisms ⋮ Real-Normalized Differentials and the Elliptic Calogero-Moser System ⋮ Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach ⋮ The Gauss map and secants of the Kummer variety

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