| A Simple Proof of Dieudonn-Manin Classification Theorem |
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| 基金项目： | Partially supported by National Natural Science Foundation of China(Grant No.10871183);Partially supported by Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.200803580047);Partially supported by the Fundamental Research Funds for the Central Universities(Grant No.0010000006) |
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| 摘 要： | The Dieudonn-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.
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| 关 键 词： | φ-Module strict ring Dieudonn–Manin theorem Harder–Narasimhan filtration |
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