Kazuo Kaneko, “Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System <nobr>$\mathrm{G(1112)}$</nobr>”, SIGMA, 2014, Volume 10,069, 15 pp.

Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System $\mathrm{G(1112)}$

Kazuo Kaneko

Seki Kowa Institute of Mathematics, Yokkaichi University, Kayaucho, Yokkaichi, Mie, 512-8512, Japan

Abstract: We have classified special solutions around the origin for the two-dimensional degenerate Garnier system $\mathrm{G(1112)}$ with generic values of complex parameters, whose linear monodromy can be calculated explicitly.

Keywords: two-dimensional degenerate Garnier system; monodromy data.

MSC: 34M55; 33C15

Received: October 24, 2013; in final form June 14, 2014; Published online July 5, 2014

Language: English

DOI: 10.3842/SIGMA.2014.069