Document Type

Article

Version

Author's Final Manuscript

Publication Title

Journal of the Institute of Mathematics of Jussieu

Publication Date

2022

Abstract

We determine reductions of 2 -dimensional, irreducible, semistable, and non-crystalline representations of Gal(β„šπ‘/β„šπ‘) with Hodge–Tate weights 0<π‘˜βˆ’1 and with L -invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for π‘˜β‰₯𝑝 .

DOI

https://doi.org/10.1017/S1474748022000081

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