A note on Hilbert modular threefolds

被引:0
作者
Hamahata, Y [1 ]
机构
[1] Sci Univ Tokyo, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan
来源
NUMBER THEORY AND ITS APPLICATIONS | 1999年 / 2卷
关键词
Hilbert modular varieties; Hilbert modular forms; and the classification problem;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the classification of three dimensional Hilbert modular varieties over totally real Galois cubic fields. We find some varieties of general type, whose geometric genera are 0, 1.
引用
收藏
页码:157 / 164
页数:8
相关论文
共 12 条
[1]  
[Anonymous], 1977, CLASSIFICATION HILBE, DOI DOI 10.1017/CBO9780511569197.005
[2]   DEFECT SERIES AND NONRATIONAL HILBERT MODULAR THREEFOLDS [J].
GRUNDMAN, HG .
MATHEMATISCHE ANNALEN, 1994, 300 (01) :77-88
[3]   HILBERT MODULAR SURFACES WITH P(G)LESS-THAN-OR-EQUAL-TO-1 [J].
HAMAHATA, Y .
MATHEMATISCHE NACHRICHTEN, 1995, 173 :193-236
[4]  
HIRZEBRUCH F, 1973, ENSEIGN MATH, V19, P183
[5]   EXAMPLES OF 3-DIMENSIONAL HILBERT MODULAR MANIFOLDS OF GENERAL TYPE [J].
KNOLLER, FW .
MANUSCRIPTA MATHEMATICA, 1982, 37 (02) :135-161
[6]   ELLIPTIC FIXED POINTS OF HILBERTS MODULAR GROUPS [J].
PRESTEL, A .
MATHEMATISCHE ANNALEN, 1968, 177 (03) :181-&
[7]   ON AN OPERATOR U-CHI ACTING ON THE SPACE OF HILBERT CUSP FORMS [J].
SAITO, H .
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1984, 24 (02) :285-303
[8]  
THOMAS E, 1981, J REINE ANGEW MATH, V324, P192
[9]   DEFECTS OF CUSP SINGULARITIES [J].
THOMAS, E .
MATHEMATISCHE ANNALEN, 1983, 264 (03) :397-411
[10]   NUMERICAL INVARIANTS OF HILBERT GROUPS [J].
VIGNERAS, MF .
MATHEMATISCHE ANNALEN, 1976, 224 (03) :189-215