The Gauss map and secants of the Kummer variety

DOI10.1112/blms.12244zbMath1420.14060arXiv1706.01870OpenAlexW3102016893MaRDI QIDQ4968396

Robert Auffarth, Giulio Codogni, Riccardo Salvati Manni

Publication date: 12 July 2019

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01870

zbMATH Keywords

JacobianGauss mapKummer variety

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Theta functions and curves; Schottky problem (14H42)

Related Items

Theta divisors whose Gauss map has a fiber of positive dimension ⋮ Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach ⋮ On the Schottky problem for genus five Jacobians with a vanishing theta null

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The vanishing of two-point functions for three-loop superstring scattering amplitudes
• On a set of equations characterizing Riemann matrices
• Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants
• Characterizing Jacobians via trisecants of the Kummer variety
• Characterization of Jacobian varieties in terms of soliton equations
• Some curves in Abelian varieties
• Vector-valued modular forms and the Gauss map
• Theta functions on Riemann surfaces
• The degree of the Gauss map of the theta divisor
• The Schottky Problem
• Some Identities for Abelian Integrals
• Kummer Varieties and the Moduli Spaces of Abelian Varieties
• On a Theorem of Torelli
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Cubic threefolds, Fano surfaces and the monodromy of the Gauss map