On the rank of Picard groups of modular varieties attached to orthogonal groups

被引：20

作者：

Bruinier, JH ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

COMPOSITIO MATHEMATICA | 2002年 / 133卷 / 01期

关键词：

Picard group; orthogonal group; class number;

D O I：

10.1023/A:1016357029843

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive lower bounds for the rank of Picard groups of modular varieties associated with natural congruence subgroups of the orthogonal group of an even lattice of signature (2, l). As an example we consider the Siegel modular group of genus 2. The analytic part of this paper also leads to certain class number identities.

引用

页码：49 / 63

页数：15

共 18 条

[1] Automorphic forms with singularities on Grassmannians [J].