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arXiv · 2404.10132

Moduli spaces of nilpotent displays

Sebastian Bartling·Manuel Hoff
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Abstract

We show that the moduli problem of deformations of nilpotent displays by quasi-isogenies is representable, without using $p$-divisible groups. The main ingredients are Artin's criterion and the theory of truncated displays. This gives in particular a new proof for the representability of Rapoport-Zink spaces.

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Sebastian Bartling, Manuel Hoff. 2024-04-15. Moduli spaces of nilpotent displays. https://arxiv.org/abs/2404.10132

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