RAMIFICATION OF TATE MODULES FOR RANK 2 DRINFELD MODULES

被引：0
|
作者：
Asayama, Takuya [1 ]
Huang, Maozhou [2 ]
机构：
[1] Tokyo Inst Technol, Ctr Innovat Teaching & Learning, Tokyo 1528550, Japan
[2] New Uzbekistan Univ, Dept Math, Tashkent 100001, Uzbekistan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2024年 / 76卷 / 03期
关键词：
Drinfeld modules; Herbrand functions; higher ramification subgroups; conductors; Szpiro's conjecture;
D O I：
10.2748/tmj.20230224
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the ramification of extensions of a function field generated by division points of rank 2 Drinfeld modules. Also conductors of certain rank 2 Drinfeld modules are defined as analogues of those for elliptic curves. A calculation of these conductors allows us to show an analogue of Szpiro's conjecture under a certain limited situation.
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页码：445 / 481
页数：37
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