Open conditions for infinite multiplicity eigenvalues on elliptic curves

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dc.contributor.authorIm, Bo-Haeko
dc.contributor.authorLarsen, Mko
dc.date.accessioned2016-10-04T02:59:57Z-
dc.date.available2016-10-04T02:59:57Z-
dc.date.created2016-09-07-
dc.date.created2016-09-07-
dc.date.issued2006-05-
dc.identifier.citationJOURNAL OF ALGEBRA, v.299, no.2, pp.707 - 713-
dc.identifier.issn0021-8693-
dc.identifier.urihttp://hdl.handle.net/10203/213021-
dc.description.abstractLet E be an elliptic curve defined over a number field K. We show that for each root of unity zeta, the set Sigma(zeta) of sigma is an element of Gal((K) over bar /K) such that zeta is an eigenvalue of infinite multiplicity for or acting on E((K) over bar) circle times C has non-empty interior. For the eigenvalue -1, we can show more: for any sigma in Gal((K) over bar /K), the multiplicity of the eigenvalue - 1 is either 0 or infinity. It follows that Sigma(-1) is open. (c) 2006 Elsevier Inc. All rights reserved-
dc.languageEnglish-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.titleOpen conditions for infinite multiplicity eigenvalues on elliptic curves-
dc.typeArticle-
dc.identifier.wosid000238030100015-
dc.identifier.scopusid2-s2.0-33646349724-
dc.type.rimsART-
dc.citation.volume299-
dc.citation.issue2-
dc.citation.beginningpage707-
dc.citation.endingpage713-
dc.citation.publicationnameJOURNAL OF ALGEBRA-
dc.identifier.doi10.1016/j.jalgebra.2006.02.011-
dc.contributor.localauthorIm, Bo-Hae-
dc.contributor.nonIdAuthorLarsen, M-
dc.type.journalArticleArticle-
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