Galois representations and torsion in the coherent cohomology of Hilbert modular varieties

Matthew Emerton; Davide A. Reduzzi; Liang Xiao

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arXiv · 1307.8003

Galois representations and torsion in the coherent cohomology of Hilbert modular varieties

Matthew Emerton·Davide A. Reduzzi·Liang Xiao

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Abstract

Let $F$ be a totally real number field and let $p$ be a prime unramified in $F$. We prove the existence of Galois pseudo-representations attached to mod $p^m$ Hecke eigenclasses of paritious weight occurring in the coherent cohomology of Hilbert modular varieties for $F$ of level prime to $p$.

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Matthew Emerton, Davide A. Reduzzi, Liang Xiao. 2014-07-10. Galois representations and torsion in the coherent cohomology of Hilbert modular varieties. https://arxiv.org/abs/1307.8003

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