Unlikely Intersection for Two-Parameter Families of Polynomials

被引：2
|
作者：
Ghioca, Dragos [1 ]
Hsia, Liang-Chung [2 ]
Tucker, Thomas J. [3 ]
机构：
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
[2] Natl Taiwan Normal Univ, Dept Math, Taipei, Taiwan
[3] Univ Rochester, Dept Math, Rochester, NY 14627 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 24期
基金：
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词：
TORSION ANOMALOUS POINTS; PREPERIODIC POINTS; CANONICAL HEIGHT; ELLIPTIC-SURFACES; EQUIDISTRIBUTION; VARIETIES; THEOREM;
D O I：
10.1093/imrn/rnw006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let c(1), c(2), c(3) be distinct complex numbers, and let d >= 3 be an integer. We show that the set of all pairs (a, b) is an element of C x C such that each c(i) is preperiodic for the action of the polynomial x(d) + ax + b is not Zariski dense in the affine plane.
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页码：7589 / 7618
页数：30
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