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 ...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.展开更多
基金the National Key Research and Development Program of China(2020YFA0713100)the National Natural Science Founda-tion of China(12141104,11801535,11721101,11625106)the Fundamental Research Funds for the Central Universities.
基金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)
文摘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.
