A note on semistable Barsotti-Tate groups
Vol. 15 (2008), No. 3, Page 411--425.
Trihan, Fabien
A note on semistable Barsotti-Tate groups
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Abstract:
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.
Mathematics Subject Classification (2000): 14F30.
Mathematical Reviews Number: MR2510628
Received: 2008-09-16