Journal of the Mathematical Society of Japan

Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter

Takashi AOKI and Naofumi HONDA
Source: J. Math. Soc. Japan Volume 63, Number 4 (2011), 1085-1119.

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.

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Primary Subjects: 34M55, 34M60
Secondary Subjects: 34E20, 34M25
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1319721136
Digital Object Identifier: doi:10.2969/jmsj/06341085
Zentralblatt MATH identifier: 05992428
Mathematical Reviews number (MathSciNet): MR2855808

References

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Zentralblatt MATH: 1162.34072
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Journal of the Mathematical Society of Japan

Journal of the Mathematical Society of Japan

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