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arXiv · 2008.12400

Full Level Structure on Some Group Schemes

Chuangtian Guan
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Abstract

We give a definition of full level structure on group schemes of the form $G\times G$, where $G$ is a finite flat commutative group scheme of rank $p$ over a $\mathbb{Z}_p$-scheme $S$ or, more generally, a truncated $p$-divisible group of height $1$. We show that there is no natural notion of full level structure over the stack of all finite flat commutative group schemes.

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Chuangtian Guan. 2021-02-24. Full Level Structure on Some Group Schemes. https://arxiv.org/abs/2008.12400

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