On rings of differential operators derived from automorphic forms

DOI10.1007/s11785-017-0663-7zbMath1409.16019arXiv1609.02852OpenAlexW2519228143MaRDI QIDQ682081

Atsuhira Nagano

Publication date: 13 February 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02852

zbMATH Keywords

automorphic formsordinary differential operatorsalgebraic curves

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Modular and Shimura varieties (14G35) Rings of differential operators (associative algebraic aspects) (16S32) Automorphic forms in several complex variables (32N10) Elliptic functions and integrals (33E05)

Cites Work

• The theory of Jacobi forms
• Jacobi forms of higher degree
• Characterization of Jacobian varieties in terms of soliton equations
• The spectrum of Hill's equation
• Integration of nonlinear equations by the methods of algebraic geometry
• Analytic continuation of eigenvalues of the Lamé operator
• Soliton equations and the Riemann-Schottky problem
• CATEGORY OF VECTOR BUNDLES ON ALGEBRAIC CURVES AND INFINITE DIMENSIONAL GRASSMANNIANS
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