Compactification of the Drinfeld Modular Surfaces

被引：0
作者：
Lehmkuhl, Thomas
机构：
来源：
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 197卷 / 921期
关键词：
Drinfeld module; level structure; deformation; lattice; formal schemes;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we describe in detail a compactification of the moduli schemes representing Drinfeld modules of rank 2 endowed with some level structure. The boundary is a union of copies of moduli schemes for Drinfeld modules of rank 1, and its points are interpreted as Tate data. We also study infinitesimal deformations of Drinfeld modules with level structure.
引用
收藏
页码：VII / +
页数：90
相关论文
共 29 条
[1]  
[Anonymous], 1967, Die Grundlehren der mathematischen Wissenschaften
[2]  
[Anonymous], 1965, LECT NOTES MATH
[3]  
Artin M., 1970, Ann. Math., V91, P88, DOI 10.2307/1970602
[4]  
Bosch S., 1984, GRUNDLEHREN MATH WIS, V261
[5]  
BOURBAKI N, 1989, COMMUTATIVE ALGEBRA
[6]  
DRINFELD VG, 1976, MATH USSR SB, V23, P561
[7]  
Gekeler E-U., 1997, Drinfeld Modules, Modular Schemes and Applications
[8]  
Gekeler Ernst-Ulrich., 1986, Lecture Notes in Mathematics, V1231
[9]  
GEKELER EU, 1989, J REINE ANGEW MATH, V401, P188
[10]  
GOSS D, 1992, MATH RES I PUBL, V2
123