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Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms

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We prove the strong Artin conjecture for continuous, totally odd, two-dimensional representations of the absolute Galois group of a totally real field F. Click to show full abstract

We prove the strong Artin conjecture for continuous, totally odd, two-dimensional representations of the absolute Galois group of a totally real field F.

Keywords: models hilbert; ramified case; modular varieties; varieties ramified; hilbert modular; integral models

Journal Title: Inventiones mathematicae
Year Published: 2019

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