{"title":"伽罗瓦表示，$(\\varphi, \\Gamma)$ -模块和棱柱形f晶体","authors":"Z. Wu","doi":"10.4171/dm/855","DOIUrl":null,"url":null,"abstract":"We prove that both local Galois representations and (φ,Γ)-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and (φ,Γ)-modules.","PeriodicalId":50567,"journal":{"name":"Documenta Mathematica","volume":"63 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Galois representations, $(\\\\varphi, \\\\Gamma)$-modules and prismatic F-crystals\",\"authors\":\"Z. Wu\",\"doi\":\"10.4171/dm/855\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that both local Galois representations and (φ,Γ)-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and (φ,Γ)-modules.\",\"PeriodicalId\":50567,\"journal\":{\"name\":\"Documenta Mathematica\",\"volume\":\"63 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Documenta Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4171/dm/855\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Documenta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/dm/855","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Galois representations, $(\varphi, \Gamma)$-modules and prismatic F-crystals
We prove that both local Galois representations and (φ,Γ)-modules can be recovered from prismatic F-crystals, from which we obtain a new proof of the equivalence of Galois representations and (φ,Γ)-modules.
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DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented
Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.
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