Polynomial automorphisms of Cn preserving the Markoff-Hurwitz polynomial

被引：0

作者：

Hu, Hengnan ^{[1
]}

Tan, Ser Peow ^{[1
]}

Zhang, Ying ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

来源：

GEOMETRIAE DEDICATA | 2018年 / 192卷 / 01期

关键词：

Markoff-Hurwitz polynomial; Cayley graph; Polynomial automorphisms; Identities; ONE-HOLED TORUS; MCSHANES IDENTITY; CHARACTER VARIETY; SIMPLE GEODESICS; MODULI SPACES; TRIPLES; SL(2;

D O I：

10.1007/s10711-017-0235-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the action of the group of polynomial automorphisms of C-n (n >= 3) which preserve the Markoff-Hurwitz polynomial H (x) := x(2) (1) + x(2)(2) + . . . + x(n)(2) - x(1)x(2) . . . x(n). Our main results include the determination of the group, the description of a non-empty open subset of C-n on which the group acts properly discontinuously (domain of discontinuity), and identities for the orbit of points in the domain of discontinuity.

引用

页码：207 / 243

页数：37

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