Collision of orbits for a one-parameter family of Drinfeld modules

被引：1
作者：
Ghioca, Dragos [1 ]
机构：
[1] Univ British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
来源：
JOURNAL OF NUMBER THEORY | 2024年 / 257卷
关键词：
Drinfeld modules; Unlikely intersections; Heights; MORDELL-LANG CONJECTURE; ANDRE-OORT CONJECTURE; PREPERIODIC POINTS; CANONICAL HEIGHT; LEHMER INEQUALITY; SIEGELS THEOREM; TORSION; INTERSECTIONS; VARIETIES; PRODUCTS;
D O I：
10.1016/j.jnt.2023.11.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a result (see Theorem 1.1) regarding unlikely intersections of orbits for a given 1-parameter family of Drinfeld modules. We also advance a couple of general conjectures regarding unlikely intersections for algebraic families of Drinfeld modules (see Conjectures 1.3 and 2.3). (c) 2023 Elsevier Inc. All rights reserved.
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收藏
页码：320 / 340
页数：21
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