Group schemes of period p>2
Group schemes of period p>2
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周期p>2的组方案
DOI：
10.1112/plms/pdp052
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发表时间：
2008
影响因子：
1.8
通讯作者：
V. Abrashkin
中科院分区：
文献类型：
--
作者：
V. Abrashkin
对于素数p bbb20，在具有完全残差域的p进域的赋值环上，给出了由p杀死的有限平面群方案的Breuil分类的直接证明。作为应用，我们通过Fontaine-Wintenberger域的范数函子建立了有限平面群方案与尊重相关伽罗瓦模的Faltings严格模之间的对应关系。
For a prime number p>2, we give a direct proof of Breuil's classification of finite flat group schemes killed by p over the valuation ring of a p‐adic field with perfect residue field. As application we establish a correspondence between finite flat group schemes and Faltings's strict modules which respects associated Galois modules via the Fontaine–Wintenberger field‐of‐norms functor.