Siegel modular forms of degree 2 over rings

被引：2

作者：

Ichikawa, Takashi ^{[1
]}

机构：

[1] Saga Univ, Fac Sci & Engn, Dept Math, Saga 8408502, Japan

来源：

JOURNAL OF NUMBER THEORY | 2009年 / 129卷 / 04期

关键词：

Siegel modular forms; Moduli spaces;

D O I：

10.1016/j.jnt.2008.11.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on moduli theory of abelian varieties, extending Igusa's result on Siegel modular forms over C, we describe the ring of Siegel full modular forms of degree 2 over any Z-algebra in which 6 is invertible. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：818 / 823

页数：6

共 50 条

[1] SIEGEL MODULAR FORMS OF DEGREE 2
YAMAZAKI, T
AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (01) : 39 - 53
[2] SIEGEL MODULAR CUSP FORMS OF DEGREE 2
KOJIMA, H
TOHOKU MATHEMATICAL JOURNAL, 1981, 33 (01) : 65 - 75
[3] Siegel modular forms and Hecke operators in degree 2
Hafner, JL
Walling, LH
NUMBER THEORY FOR THE MILLENNIUM II, 2002, : 117 - 148
[4] LEVEL STRIPPING FOR DEGREE 2 SIEGEL MODULAR FORMS
Keaton, Rodney
MATHEMATICAL RESEARCH LETTERS, 2013, 20 (05) : 919 - 932
[5] FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS OF DEGREE 2
LIPPA, EA
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 79 (06) : 1242 - 1246
[6] FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS OF DEGREE 2
LIPPA, EA
AMERICAN JOURNAL OF MATHEMATICS, 1975, 97 (03) : 829 - 846
[7] SIEGEL MODULAR-FORMS OF DEGREE-2
KOJIMA, H
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1982, 58 (08) : 369 - 371
[8] ARCHIMEDEAN ASPECTS OF SIEGEL MODULAR FORMS OF DEGREE 2
Schmidt, Ralf
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (07) : 2381 - 2422
[9] Siegel modular forms of degree two attached to Hilbert modular forms
Johnson-Leung, Jennifer
Roberts, Brooks
JOURNAL OF NUMBER THEORY, 2012, 132 (04) : 543 - 564
[10] Remark on Sturm bounds for Siegel modular forms of degree 2
Kikuta, Toshiyuki
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2015, 91 (06) : 82 - 84

← 1 2 3 4 5 →