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arxiv: 1411.1789 · v2 · pith:GXUS75ODnew · submitted 2014-11-06 · 🧮 math.NT

Images of adelic Galois representations for modular forms

classification 🧮 math.NT
keywords adelicgaloismodularattachedformsrepresentationalgebraicfinite
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We show that the image of the adelic Galois representation attached to a non-CM modular form is open in the adelic points of a suitable algebraic group. We also show a similar result for the adelic Galois representation attached to a finite set of modular forms.

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