Finiteness for crystalline representations of the absolute Galois group of a totally real field
DC Field | Value | Language |
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dc.contributor.author | Choi, Dohoon | - |
dc.contributor.author | Choi, Suh Hyun | - |
dc.date.accessioned | 2021-08-31T05:21:02Z | - |
dc.date.available | 2021-08-31T05:21:02Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2020-04 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/56884 | - |
dc.description.abstract | Let K be a totally real field and G(K) := Gal((K) over bar /K) its absolute Galois group, where K is a fixed algebraic closure of (K) over bar. Let e be a prime and E a finite extension of Q(l). Let S be a finite set of finite places of K not dividing l. Assume that K, S, Hodge-Tate type h and a positive integer n are fixed. In this paper, we prove that if 2 is sufficiently large, then, for any fixed E, there are only finitely many isomorphism classes of crystalline representations r : G(K) -> GL(n)(E) unramified outside S boolean OR {v : v vertical bar l}, with fixed Hodge-Tate type h, such that r vertical bar G(K') similar or equal to circle plus r(i)' for some finite totally real field extension K' of K unramified at all places of K over l, where each representation r(i)'over E is an 1-dimensional representation of G(K)' or a totally odd irreducible 2-dimensional representation of G(K)' with distinct Hodge-Tate numbers. (C) 2019 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | CONJECTURE | - |
dc.title | Finiteness for crystalline representations of the absolute Galois group of a totally real field | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choi, Dohoon | - |
dc.identifier.doi | 10.1016/j.jnt.2019.08.023 | - |
dc.identifier.scopusid | 2-s2.0-85072725346 | - |
dc.identifier.wosid | 000510315400013 | - |
dc.identifier.bibliographicCitation | JOURNAL OF NUMBER THEORY, v.209, pp.312 - 329 | - |
dc.relation.isPartOf | JOURNAL OF NUMBER THEORY | - |
dc.citation.title | JOURNAL OF NUMBER THEORY | - |
dc.citation.volume | 209 | - |
dc.citation.startPage | 312 | - |
dc.citation.endPage | 329 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CONJECTURE | - |
dc.subject.keywordAuthor | Finiteness of Galois representations | - |
dc.subject.keywordAuthor | Potential automorphy | - |
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