Differential modular forms on Shimura curves, I

被引：8
作者：
Buium, A [1 ]
机构：
[1] Univ New Mexico, Albuquerque, NM 87131 USA
来源：
COMPOSITIO MATHEMATICA | 2003年 / 139卷 / 02期
基金：
美国国家科学基金会;
关键词：
isogeny; modular forms; Shimura curves;
D O I：
10.1023/B:COMP.0000005081.66740.9a
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The quotient of a Shimura curve by the isogeny equivalence relation is not an object of algebraic geometry. The paper shows how this quotient space becomes a geometric object in a more general geometry obtained from 'usual algebraic geometry', by adjoining a new operation; this operation looks like a 'Fermat quotient' and should be viewed as an arithmetic analogue of usual derivations.
引用
收藏
页码：197 / 237
页数：41
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