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ON NONCRITICAL GALOIS REPRESENTATIONS

Published online by Cambridge University Press:  22 July 2021

Bingyong Xie*
Affiliation:
Department of Mathematics, East China Normal University, Shanghai, China (byxie@math.ecnu.edu.cn)

Abstract

We propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park’s conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.

MSC classification

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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