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- W2952646159 abstract "The Galois representations associated to weight $1$ newforms over $bar{mathbb{F}}_p$ are remarkable in that they are unramified at $p$, but the computation of weight $1$ modular forms has proven to be difficult. One complication in this setting is that a weight $1$ cusp form over $bar{mathbb{F}}_p$ need not arise from reducing a weight $1$ cusp form over $bar{mathbb{Q}}$. In this article we propose a unified stability for computing spaces of weight $1$ modular forms of a given level in all characteristics simultaneously. Our main theorems outline conditions under which a finite-dimensional Hecke module of ratios of modular forms must consist of genuine modular forms. We conclude with some applications of the Hecke stability method motivated by the refined inverse Galois problem." @default.
- W2952646159 created "2019-06-27" @default.
- W2952646159 creator A5065634358 @default.
- W2952646159 date "2014-06-02" @default.
- W2952646159 modified "2023-09-27" @default.
- W2952646159 title "Hecke stability and weight 1 modular forms" @default.
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