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EXTREMAL CASES OF RAPOPORT–ZINK SPACES
Journal of the Institute of Mathematics of Jussieu ( IF 0.9 ) Pub Date : 2021-01-20 , DOI: 10.1017/s1474748020000730
Ulrich Görtz , Xuhua He , Michael Rapoport

We investigate qualitative properties of the underlying scheme of Rapoport–Zink formal moduli spaces of p-divisible groups (resp., shtukas). We single out those cases where the dimension of this underlying scheme is zero (resp., those where the dimension is the maximal possible). The model case for the first alternative is the Lubin–Tate moduli space, and the model case for the second alternative is the Drinfeld moduli space. We exhibit a complete list in both cases.



中文翻译:

RAPOPORT-ZINK 空间的极端案例

我们研究了p可分群(resp.,shtukas)的 Rapoport-Zink 形式模空间的基本方案的定性性质。我们挑选出这个基础方案的维度为零的那些情况(分别是那些维度是最大可能的情况)。第一个备选方案的模型案例是 Lubin-Tate 模空间,第二个备选方案的模型案例是 Drinfeld 模空间。我们在这两种情况下都展示了一个完整的列表。

更新日期:2021-01-20
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