MIXED OBJECTS ARE EMBEDDED INTO LOG PURE OBJECTS

Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Osaka Journal of Mathematics, 2025, 62(3), 445-465

アクセス数:113件（2026-02-11 03:48 集計）

固定URL: https://doi.org/10.18910/102434

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タイトル	MIXED OBJECTS ARE EMBEDDED INTO LOG PURE OBJECTS
著者	NRID 1000090111450 1000090111450 著者名 Kato, Kazuya
	NRID 1000070272664 1000070272664 著者名 Nakayama, Chikara
	NRID 1000090117002 1000090117002 著者名 Usui, Sampei
抄録	We prove that a variation of mixed Hodge structure is embedded in a logarithmic variation of pure Hodge structure, and a generalized version of this result. These results suggest some simple construction of the category of mixed motives by using log pure motives.
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(3)
ページ	445-465
刊行年月	2025-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/102434
DOI	https://doi.org/10.18910/102434
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 62, Number 3 （2025-07）

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. 2025, 62(3), p. 445-465
DC.title	MIXED OBJECTS ARE EMBEDDED INTO LOG PURE OBJECTS
DC.creator	Kato, Kazuya
	Nakayama, Chikara
	Usui, Sampei
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-07
DCTERMS.abstract	We prove that a variation of mixed Hodge structure is embedded in a logarithmic variation of pure Hodge structure, and a generalized version of this result. These results suggest some simple construction of the category of mixed motives by using log pure motives.
DC.identifier	10.18910/102434
DC.format	102434
citation_title	MIXED OBJECTS ARE EMBEDDED INTO LOG PURE OBJECTS
citation_author	Kato, Kazuya
	Nakayama, Chikara
	Usui, Sampei
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	3
citation_firstpage	445
citation_lastpage	465
citation_public_url	https://hdl.handle.net/11094/102434
citation_doi_detail	10.18910/102434
citation_doi	https://doi.org/10.18910/102434