TY - JOUR
T1 - Reductions of Some Two-Dimensional Crystalline Representations via Kisin Modules
AU - Bergdall, John
AU - Levin, Brandon
N1 - Publisher Copyright:
© 2020 The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permission@oup.com.
PY - 2022/2/1
Y1 - 2022/2/1
N2 - We determine rational Kisin modules associated with 2-dimensional, irreducible, crystalline representations of Gal(Qp/Qp) of Hodge Tate weights 0, k-1. If the slope is larger than k-1 p, we further identify an integral Kisin module, which we use to calculate the semisimple reduction of the Galois representation. In that range, we find that the reduction is constant, thereby improving on a theorem of Berger, Li, and Zhu.
AB - We determine rational Kisin modules associated with 2-dimensional, irreducible, crystalline representations of Gal(Qp/Qp) of Hodge Tate weights 0, k-1. If the slope is larger than k-1 p, we further identify an integral Kisin module, which we use to calculate the semisimple reduction of the Galois representation. In that range, we find that the reduction is constant, thereby improving on a theorem of Berger, Li, and Zhu.
UR - http://www.scopus.com/inward/record.url?scp=85125476974&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85125476974&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnaa240
DO - 10.1093/imrn/rnaa240
M3 - Article
AN - SCOPUS:85125476974
SN - 1073-7928
VL - 2022
SP - 3170
EP - 3197
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 4
ER -