Indecomposable vector-valued modular forms and periods of modular curves
Number Theory
2017-10-17 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1707.01693,
title = {Indecomposable vector-valued modular forms and periods of modular curves},
author = {Luca Candelori and Tucker Hartland and Christopher Marks and Diego Yepez},
journal= {arXiv preprint arXiv:1707.01693},
year = {2017}
}