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.
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页码：207 / 243
页数：37
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