A census of quadratic post-critically finite rational functions defined over Q

被引：7

作者：

Lukas, David ^{[1
]}

Manes, Michelle ^{[2
]}

Yap, Diane ^{[2
]}

机构：

[1] Univ Hawaii, Honolulu, HI 96822 USA

[2] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA

来源：

LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2014年 / 17卷

基金：

美国国家科学基金会;

关键词：

POINTS; MAPS;

D O I：

10.1112/S1461157014000266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find all quadratic post-critically finite (PCF) rational functions defined over Q, up to conjugation by elements of PGL(2)((Q) over bar). We describe an algorithm to search for possibly PCF functions. Using the algorithm, we eliminate all but 12 rational functions, all of which are verified to be PCF. We also give a complete description of all possible rational preperiodic structures for quadratic PCF functions defined over Q.

引用

页码：314 / 329

页数：16

共 15 条

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Benedetto R., 2012, ARXIV12011605V1

[3]

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