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Galois representations and torsion in the coherent cohomology of Hilbert modular varieties (1307.8003v2)
Published 30 Jul 2013 in math.NT
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 $pm$ Hecke eigenclasses of paritious weight occurring in the coherent cohomology of Hilbert modular varieties for $F$ of level prime to $p$.