Relative crystalline representations and p-divisible groups in the small ramification case

Let k be a perfect field of characteristic p > 2, and let K be a finite totally ramified extension over W (k)[ ] 1 pof ramification degreee. LetR0 be a relative base ring over W (k)〈t±1 1, …, tm±1〉 satisfying some mild conditions, and let R = R0 ⊗W (k) O ( [K . We show that if e < p−1, then every crystalline representation of π1étSpecR1 ]) p with Hodge–Tate weights in [0, 1] arises from a p-divisible group over R.This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu