Open Access
October, 2011 Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter
Takashi AOKI, Naofumi HONDA
J. Math. Soc. Japan 63(4): 1085-1119 (October, 2011). DOI: 10.2969/jmsj/06341085

Abstract

The system of algebraic equations for the leading terms of formal solutions to the Noumi-Yamada systems with a large parameter is studied. A formula which gives the number of solutions outside of turning points is established. The number of turning points of the first kind is also given.

Citation

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Takashi AOKI. Naofumi HONDA. "Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter." J. Math. Soc. Japan 63 (4) 1085 - 1119, October, 2011. https://doi.org/10.2969/jmsj/06341085

Information

Published: October, 2011
First available in Project Euclid: 27 October 2011

zbMATH: 1242.34154
MathSciNet: MR2855808
Digital Object Identifier: 10.2969/jmsj/06341085

Subjects:
Primary: 34M55 , 34M60
Secondary: 34E20 , 34M25

Keywords: Formal solutions , Noumi-Yamada systems , Painlevé hierarchy

Rights: Copyright © 2011 Mathematical Society of Japan

Vol.63 • No. 4 • October, 2011
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