The Sixth Painleve Transcendent and Uniformizable Orbifolds

被引：0

作者：

Brezhnev, Yurii V. ^{[1
]}

机构：

[1] Tomsk State Univ, Tomsk 634050, Russia

来源：

PAINLEVE EQUATIONS AND RELATED TOPICS (2012) | 2012年

关键词：

Sixth Painleve Transcendent; Algebraic Solutions; Algebraic Curves of Higher Genera; Uniformization by Theta-functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how the Picard-Hitchin solutions to the sixth Painleve transcendent generate the explicitly uniformizable (parametrizable) algebraic curves of nontrivial genera g > 1. As a byproduct of the theory we derive an example of the uniformizable representation to a holomorphic Abelian integral.

引用

页码：193 / 197

页数：5