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相关期刊:《Acta Mathematica Sinica,English Series》《Science China Mathematics》更多>>
相关主题:GROSSEXTENSIONSEXTENSIONEUDCYCLIC更多>>
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A Simple Proof of Dieudonn-Manin Classification Theorem
《Acta Mathematica Sinica,English Series》2012年第8期1553-1574,共22页Yi Wen DING Yi OUYANG 
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)
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 ...
关键词:φ-Module strict ring Dieudonne Manin theorem Harder-Narasimhan filtration 
Class numbers of cyclic 2-extensions and Gross conjecture over Q
《Science China Mathematics》2010年第9期2447-2462,共16页Ouyang Yi Xue Hang 
supported by National Natural Science Foundation of China (Grant No.10871183);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.200803580047)
The Gross conjecture over Q was first claimed by Aoki in 1991.However,the original proof contains too many mistakes and false claims to be considered as a serious proof.This paper is an attempt to find a sound proof o...
关键词:GROSS CONJECTURE class NUMBER CYCLIC 2-extension 
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