STARK SYSTEMS AND EQUIVARIANT MAIN CONJECTURES

アクセス数:61件（2024-12-26 20:01 集計）

固定URL: https://doi.org/10.18910/87486

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タイトル	STARK SYSTEMS AND EQUIVARIANT MAIN CONJECTURES
著者	著者名 Kataoka, Takenori
抄録	The theory of Stark systems due to Burns, Sakamoto, and Sano is an important tool toward main conjectures in Iwasawa theory. In this paper, we propose a new perspective of their results, which produces more refined consequences. As a principal application, we prove one divisibility of the equivariant main conjecture for elliptic curves, under certain conditions without μ = 0 hypothesis.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	59(2)
ページ	417-452
刊行年月	2022-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/87486
DOI	https://doi.org/10.18910/87486
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 59, Number 2 （2022-4）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2022, 59(2), p. 417-452
DC.title	STARK SYSTEMS AND EQUIVARIANT MAIN CONJECTURES
DC.creator	Kataoka, Takenori
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2022-04
DCTERMS.abstract	The theory of Stark systems due to Burns, Sakamoto, and Sano is an important tool toward main conjectures in Iwasawa theory. In this paper, we propose a new perspective of their results, which produces more refined consequences. As a principal application, we prove one divisibility of the equivariant main conjecture for elliptic curves, under certain conditions without μ = 0 hypothesis.
DC.identifier	10.18910/87486
DC.format	87486
citation_title	STARK SYSTEMS AND EQUIVARIANT MAIN CONJECTURES
citation_author	Kataoka, Takenori
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2022-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	59
citation_issue	2
citation_firstpage	417
citation_lastpage	452
citation_public_url	https://hdl.handle.net/11094/87486
citation_doi_detail	10.18910/87486
citation_doi	https://doi.org/10.18910/87486