Abstract
Based on Schottky uniformization theory of Riemann surfaces, we construct a universal power series for (Riemann) theta function solutions of the KP hierarchy. Specializing this power series to the coordinates associated with Schottky groups overp-adic fields, we show that thep-adic theta functions of Mumford curves give solutions of the KP hierarchy.
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Communicated by M. Jimbo
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Ichikawa, T. P-adic theta functions and solutions of the KP hierarchy. Commun.Math. Phys. 176, 383–399 (1996). https://doi.org/10.1007/BF02099554
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DOI: https://doi.org/10.1007/BF02099554