Baker-Akhiezer modules on the intersections of shifted theta divisors

DOI10.2977/PRIMS/43zbMath1225.14034arXiv1004.4051OpenAlexW2962694365MaRDI QIDQ555212

Atsushi Nakayashiki, Koji Cho, Andrey E. Mironov

Publication date: 22 July 2011

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4051

zbMATH Keywords

evolution equationsBA functionBaker-Akhiezer (BA) modulegenus \(g\) algebraic curvenon-singular theta divisorprincipally polarized Abelian varietyring of differential operators in \(g\) variables

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Applications of deformations of analytic structures to the sciences (32G81) Theta functions and abelian varieties (14K25) Relationships between algebraic curves and integrable systems (14H70) Singularities of curves, local rings (14H20) Theta functions and curves; Schottky problem (14H42)

Related Items (1)

Surprising examples of nonrational smooth spectral surfaces

Cites Work

• Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems
• Tata lectures on theta. I. With the collaboration of C. Musili, M. Nori, E. Previato, and M. Stillman
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
• Commuting Partial Differential Operators and Vector Bundles Over Abelian Varieties
• Dynamics of the Krichever construction in several variables
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