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Connectedness of Kisin varieties associated to absolutely irreducible Galois representations
Chen, Miaofen1; Nie, Sian2,3
2022-02-25
发表期刊JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN0075-4102
页码24
摘要We consider the Kisin variety associated to an n-dimensional absolutely irreducible mod p Galois representation (rho) over bar of a p-adic field K together with a cocharacter mu. Kisin conjectured that the Kisin variety is connected in this case. We show that Kisin's conjecture holds if K is totally ramified with n = 3 or mu, is of a very particular form. As an application, we get a connectedness result for the deformation ring associated to (rho) over bar of given Hodge-Tate weights. We also give counterexamples to show Kisin's conjecture does not hold in general.
DOI10.1515/crelle-2022-0011
收录类别SCI
语种英语
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:000761301300001
出版者WALTER DE GRUYTER GMBH
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/60054
专题中国科学院数学与系统科学研究院
通讯作者Chen, Miaofen
作者单位1.East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, 500 Dong Chuan Rd, Shanghai 200241, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun Rd, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Chinese Acad Sci, 19 A,Yuquan Rd, Beijing 100049, Peoples R China
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GB/T 7714
Chen, Miaofen,Nie, Sian. Connectedness of Kisin varieties associated to absolutely irreducible Galois representations[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,2022:24.
APA Chen, Miaofen,&Nie, Sian.(2022).Connectedness of Kisin varieties associated to absolutely irreducible Galois representations.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,24.
MLA Chen, Miaofen,et al."Connectedness of Kisin varieties associated to absolutely irreducible Galois representations".JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK (2022):24.
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