Topological flatness of local models in the ramified case
Topological flatness of local models in the ramified case
复制标题
分支情况下局部模型的拓扑平坦度
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Ulrich Görtz
中科院分区：
文献类型：
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作者：
Ulrich Görtz
摘要：局部模型是用线性代数定义的方案，它可以用来研究某些志村簇的积分模型的局部结构，具有parahoric水平结构。我们调查的形式是一个完全分歧的扩展，由Pappas和Rapoport定义的群体的局部模型，并表明它们是拓扑平坦的。在线性情况下，平坦度可以由此推导出。
Abstract.Local models are schemes defined in terms of linear algebra which can be used to study the local structure of integral models of certain Shimura varieties, with parahoric level structure. We investigate the local models for groups of the form is a totally ramified extension, as defined by Pappas and Rapoport, and show that they are topologically flat. In the linear case, flatness can be deduced from this.