\(\mathbb Q_p\)-linear continuous Galois equivariant maps from \(\mathbb C_p\) into itself (Q1019829)
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scientific article; zbMATH DE number 5559079
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathbb Q_p\)-linear continuous Galois equivariant maps from \(\mathbb C_p\) into itself |
scientific article; zbMATH DE number 5559079 |
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\(\mathbb Q_p\)-linear continuous Galois equivariant maps from \(\mathbb C_p\) into itself (English)
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28 May 2009
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Let \(K\) be a finite extension of \({\mathbb Q}_p\) with the absolute Galois group \({\mathcal G}_K\). The author presents a new proof of Fontaine's result that a \({\mathbb Q}_p\)-linear, continuous and \({\mathcal G}_K\)-equivariant application from \({\mathbb C}_p\) into itself is a homothety.
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\({\mathbb Q}_p\)-linear map
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homothety
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