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Indecomposable vector-valued modular forms and periods of modular curves. (arXiv:1707.01693v1 [math.NT])
来源于:arXiv
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. 查看全文>>