## Journal of the Mathematical Society of Japan

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

#### 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.

#### Article information

Source
J. Math. Soc. Japan Volume 63, Number 4 (2011), 1085-1119.

Dates
First available in Project Euclid: 27 October 2011

http://projecteuclid.org/euclid.jmsj/1319721136

Digital Object Identifier
doi:10.2969/jmsj/06341085

Mathematical Reviews number (MathSciNet)
MR2855808

Zentralblatt MATH identifier
05992428

#### Citation

AOKI, Takashi; HONDA, Naofumi. Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter. J. Math. Soc. Japan 63 (2011), no. 4, 1085--1119. doi:10.2969/jmsj/06341085. http://projecteuclid.org/euclid.jmsj/1319721136.

#### References

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