Indecomposable vector-valued modular forms and periods of modular curves

被引：3

作者：

Candelori, Luca ^{[1
]}

Hartland, Tucker ^{[2
]}

Marks, Christopher ^{[3
]}

Yepez, Diego ^{[4
]}

机构：

[1] Univ Hawaii, Dept Math, 2565 McCarthy Mall, Honolulu, HI 96822 USA

[2] Univ Calif Merced, Dept Appl Math, 5200 N Lake Rd, Merced, CA 95343 USA

[3] Calif State Univ Chico, Dept Math & Stat, 400 West First St, Chico, CA 95929 USA

[4] Univ Pacific, Sch Engn & Comp Sci, 3601 Pacific Ave, Stockton, CA 95211 USA

来源：

RESEARCH IN NUMBER THEORY | 2018年 / 4卷

关键词：

Indecomposable representations; Modular forms; Periods;

D O I：

10.1007/s40993-018-0113-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the three-dimensional representations of the modular group that are reducible but indecomposable, and their associated spaces of holomorphic vector-valued modular forms. We then demonstrate how such representations may be employed to compute periods of modular curves. This technique obviates the use of Hecke operators, and therefore provides a method for studying noncongruence modular curves as well as congruence.

引用

页数：24

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