## A note on semistable Barsotti-Tate groups

J. Math. Sci. Univ. Tokyo
Vol. 15 (2008), No. 3, Page 411--425.

Trihan, Fabien
A note on semistable Barsotti-Tate groups
We show that the Dieudonn\'e crystal associated to a Barsotti-Tate group with potentially semistable reduction over a smooth curve is overconvergent. As a corollary, we obtain the rationality of the $L$-function associated to this group.