Restriction of Siegel modular forms to modular curves

被引：4

作者：

Poor, C

Yuen, DS

机构：

[1] Fordham Univ, Dept Math, Bronx, NY 10458 USA

[2] Lake Forest Coll, Math CS Dept, Lake Forest, IL 60045 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2002年 / 65卷 / 02期

关键词：

D O I：

10.1017/S0004972700020281

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study homomorphisms from the ring of Siegel modular forms of a given degree to the ring of elliptic modular forms for a congruence subgroup. These homomorphisms essentially arise from the restriction of Siegel modular forms to modular curves. These homomorphisms give rise to linear relations among the Fourier coefficients of a Siegel modular form, We use this technique to prove that dim S-4(10) = 1.

引用

页码：239 / 252

页数：14

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