Some differential equations for the Riemann \(\theta\)-function on Jacobians

DOI10.3842/SIGMA.2024.060MaRDI QIDQ6588224

Robert Wilms

Publication date: 15 August 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacesdifferential equationsJacobians\(\theta\)-functions

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Theta functions and curves; Schottky problem (14H42)

Cites Work

• Calculus on arithmetic surfaces
• Theta functions on the theta divisor
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• New explicit formulas for Faltings' delta-invariant
• Gauss map on the theta divisor and Green's functions
• INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
• Analytic invariants in Arakelov theory for curves
• 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

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