A Simple Proof of Dieudonne-Manin Classification Theorem
The Dieudonne Manin classification theorem on φ-modules （φ-isocrystals） over a perfect field plays a very important role in p-adic Hodge theory. In this note, in a more general setting we give a new proof of this result, and in the course of the proof, we also give an explicit construction of the Ha...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2012-08, Vol.28 (8), p.1553-1574 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Ding, Yi Wen Ouyang, Yi |
| description | The Dieudonne Manin classification theorem on φ-modules （φ-isocrystals） over a perfect field plays a very important role in p-adic Hodge theory. In this note, in a more general setting we give a new proof of this result, and in the course of the proof, we also give an explicit construction of the Harder Narasimhan filtration of a φ-module. |
| doi_str_mv | 10.1007/s10114-012-0490-8 |
| format | Article |
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| ispartof | Acta mathematica Sinica. English series, 2012-08, Vol.28 (8), p.1553-1574 |
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| source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Classification Construction Filtration Mathematical analysis Mathematics Mathematics and Statistics Proving Studies Theorems 分类定理 模块 简单证明 |
| title | A Simple Proof of Dieudonne-Manin Classification Theorem |
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