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Connectedness of Kisin varieties associated to absolutely irreducible Galois representations
Chen, Miaofen1; Nie, Sian2,3
2022-02-25
Source PublicationJOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
ISSN0075-4102
Pages24
AbstractWe 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
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000761301300001
PublisherWALTER DE GRUYTER GMBH
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60054
Collection中国科学院数学与系统科学研究院
Corresponding AuthorChen, Miaofen
Affiliation1.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
Recommended Citation
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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