Abstract
Let be a rational prime, be a perfect field of characteristic and be a finite totally ramified extension of the fraction field of the Witt ring of . Let be a finite flat commutative group scheme over killed by some -power. In this paper, we prove a description of ramification subgroups of via the Breuil–Kisin classification, generalizing the author’s previous result on the case where is killed by . As an application, we also prove that the higher canonical subgroup of a level truncated Barsotti–Tate group over coincides with lower ramification subgroups of if the Hodge height of is less than , and the existence of a family of higher canonical subgroups improving a previous result of the author.
Citation
Shin Hattori. "On lower ramification subgroups and canonical subgroups." Algebra Number Theory 8 (2) 303 - 330, 2014. https://doi.org/10.2140/ant.2014.8.303
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