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DCフィールド | 値 | 言語 |
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dc.contributor.author | Ohshita, Tatsuya | en |
dc.contributor.alternative | 大下, 達也 | ja |
dc.date.accessioned | 2013-11-19T05:42:17Z | - |
dc.date.available | 2013-11-19T05:42:17Z | - |
dc.date.issued | 2014-02 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/2433/179483 | - |
dc.description.abstract | Kurihara established a refinement of the minus-part of the Iwasawa main conjecture for totally real number fields by using the higher Fitting ideals [Ku]. In this paper, by using Kuriharaʼs methods and Mazur–Rubin theory, we study the higher Fitting ideals of the plus-part of Iwasawa modules associated with the cyclotomic Zp-extension of abelian fields for an odd prime number p. We define the higher cyclotomic ideals, which are ideals of the Iwasawa algebra defined by the Kolyvagin derivative classes of circular units. Then, we prove that the higher cyclotomic ideals give upper and lower bounds of the higher Fitting ideals in some sense, and determine the pseudo-isomorphism classes of the plus-part of Iwasawa modules. Our results can be regarded as analogues of Kuriharaʼs results and a refinement of the plus-part of the Iwasawa main conjecture for abelian fields. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier Inc. | en |
dc.rights | © 2013 Published by Elsevier Inc. | en |
dc.rights | This is not the published version. Please cite only the published version. | en |
dc.rights | この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | ja |
dc.subject | Iwasawa theory | en |
dc.subject | Higher Fitting ideals | en |
dc.subject | Circular unit | en |
dc.subject | Euler system | en |
dc.subject | Kolyvagin system | en |
dc.title | On the higher Fitting ideals of Iwasawa modules of ideal class groups over real abelian fields | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA00703731 | - |
dc.identifier.jtitle | Journal of Number Theory | en |
dc.identifier.volume | 135 | - |
dc.identifier.spage | 67 | - |
dc.identifier.epage | 138 | - |
dc.relation.doi | 10.1016/j.jnt.2013.08.002 | - |
dc.textversion | author | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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