\(p\)-adic theta functions and solutions of the KP hierarchy

DOI10.1007/BF02099554zbMath0852.35126MaRDI QIDQ1918067

Takashi Ichikawa

Publication date: 18 July 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schottky groups\(p\)-adic theta functionsSchottky uniformization theorytheta function solutions of the KP hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Theta functions and curves; Schottky problem (14H42)

Related Items

Periods of tropical curves and associated KP solutions, An explicit formula of the normalized Mumford form, Universal periods of hyperelliptic curves and their applications., Chern-Simons invariant and Deligne-Riemann-Roch isomorphism

Cites Work

• On a set of equations characterizing Riemann matrices
• Characterization of Jacobian varieties in terms of soliton equations
• Schottky groups and Mumford curves
• On Schottky and Teichmüller spaces
• Cohomological structure in soliton equations and Jacobian varieties
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• Poincaré Theta Series and Singular Sets of Schottky Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item