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
Hauptverfasser:	Ding, Yi Wen, Ouyang, Yi
Format:	Artikel
Sprache:	eng
Schlagworte:	Classification Construction Filtration Mathematical analysis Mathematics Mathematics and Statistics Proving Studies Theorems 分类定理模块简单证明
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Zusammenfassung:	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.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-012-0490-8