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

页码：197 / 237

页数：41