On log motives

Tetsushi, Ito; Kazuya, Kato; Nakayama, Chikara; Sampei, Usui

doi:https://doi.org/10.2140/tunis.2020.2.733

アクセス数:179件（2024-05-13 04:05 集計）

固定URL: https://hdl.handle.net/11094/73732

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タイトル	On log motives
著者	NRID 1000010456840 1000010456840 著者名 Tetsushi, Ito
	NRID 1000090111450 1000090111450 著者名 Kazuya, Kato
	NRID 1000070272664 1000070272664 著者名 Nakayama, Chikara
	NRID 1000090117002 1000090117002 著者名 Sampei, Usui
キーワード等	motive
	mixed motive
	log geometry
内容	First published in Tunisian Journal of Mathematics in Vol. 2 (2020), No. 4, published by Mathematical Sciences Publishers.
抄録	We define the categories of log motives and log mixed motives. The latter gives a new formulation for the category of mixed motives. We prove that the former is a semisimple abelian category if and only if the numerical equivalence and homological equivalence coincide, and that it is also equivalent to the latter being a Tannakian category. We discuss various realizations, formulate Tate and Hodge conjectures, and verify them in the curve case.
出版者	Mathematical Sciences Publishers
収録物名	Tunisian Journal of Mathematics
巻(号)	2(4)
ページ	733-789
刊行年月	2020
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73732
PISSN	25767658
eISSN	25767666
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.2140/tunis.2020.2.733
アクセス権	open access
権利情報	©2020 by Mathematical Sciences Publishers. All rights reserved.
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Tunisian Journal of Mathematics. 2020, 2(4), p. 733-789
DC.title	On log motives
DC.creator	Tetsushi, Ito
	Kazuya, Kato
	Nakayama, Chikara
	Sampei, Usui
DC.publisher	Mathematical Sciences Publishers
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020
DC.identifier	https://doi.org/10.2140/tunis.2020.2.733
DC.subject	motive
	mixed motive
	log geometry
DC.description	First published in Tunisian Journal of Mathematics in Vol. 2 (2020), No. 4, published by Mathematical Sciences Publishers.
DCTERMS.abstract	We define the categories of log motives and log mixed motives. The latter gives a new formulation for the category of mixed motives. We prove that the former is a semisimple abelian category if and only if the numerical equivalence and homological equivalence coincide, and that it is also equivalent to the latter being a Tannakian category. We discuss various realizations, formulate Tate and Hodge conjectures, and verify them in the curve case.
DC.rights	©2020 by Mathematical Sciences Publishers. All rights reserved.
DC.format	application/pdf
citation_title	On log motives
citation_author	Tetsushi, Ito
	Kazuya, Kato
	Nakayama, Chikara
	Sampei, Usui
citation_publisher	Mathematical Sciences Publishers
citation_language	英語
citation_date	2020
citation_journal_title	Tunisian Journal of Mathematics
citation_volume	2
citation_issue	4
citation_firstpage	733
citation_lastpage	789
citation_doi	https://doi.org/10.2140/tunis.2020.2.733
citation_public_url	https://hdl.handle.net/11094/73732

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