On the Drinfeld moduli problem of p-divisible groups

M. Rapoport; Th. Zink

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arXiv · 1408.4071

On the Drinfeld moduli problem of p-divisible groups

M. Rapoport·Th. Zink

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Abstract

Let $O_D$ be the ring of integers in a division algebra of invariant $1/n$ over a p-adic local field. Drinfeld proved that the moduli problem of special formal $O_D$-modules is representable by Deligne's formal scheme version of the Drinfeld p-adic halfspace. In this paper we exhibit other moduli spaces of formal $p$-divisible groups which are represented by $p$-adic formal schemes whose generic fibers are isomorphic to the Drinfeld p-adic halfspace. We also prove an analogue concerning the Lubin-Tate moduli space.

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M. Rapoport, Th. Zink. 2014-08-18. On the Drinfeld moduli problem of p-divisible groups. https://arxiv.org/abs/1408.4071

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