Let be a perfect field of characteristic , and let be a finite totally ramified extension over of ramification degree . Let be a relative base ring over satisfying some mild conditions, and let . We show that if , then every crystalline representation of with Hodge–Tate weights in arises from a -divisible group over .
"Relative crystalline representations and $p$-divisible groups in the small ramification case." Algebra Number Theory 14 (10) 2773 - 2789, 2020. https://doi.org/10.2140/ant.2020.14.2773