A description of a result of Deligne by log higher Albanese map

Usui, Sampei

Journal of Singularities, 2020, 21, 282-300

アクセス数:220件（2026-09-13 19:38 集計）

固定URL: https://hdl.handle.net/11094/75301

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
JSingul_21_303	pdf	なし	400 KB	310	2020.03.09

タイトル	A description of a result of Deligne by log higher Albanese map
著者	NRID 1000090117002 1000090117002 著者名 Usui, Sampei
キーワード等	Hodge theory
	log Hodge structure
	log higher Albanese map
	polylogarithm
	zeta value
抄録	In a joint work with Kazuya Kato and Chikara Nakayama, log higher Albanese manifolds were constructed as an application of log mixed Hodge theory with group action. In this framework, we describe a work of Deligne on some nilpotent quotients of the fundamental group of the projective line minus three points, where polylogarithms appear. As a result, we have q-expansions of higher Albanese maps at boundary points, i.e., log higher Albanese maps over the boundary.
出版者	Worldwide Center of Mathematics LLC
収録物名	Journal of Singularities
巻(号)	21
ページ	282-300
刊行年月	2020
言語	英語
ハンドルURL	https://hdl.handle.net/11094/75301
eISSN	19492006
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.5427/jsing.2020.21q
アクセス権	open access
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	Journal of Singularities. 2020, 21, p. 282-300
DC.title	A description of a result of Deligne by log higher Albanese map
DC.creator	Usui, Sampei
DC.publisher	Worldwide Center of Mathematics LLC
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020
DC.identifier	https://doi.org/10.5427/jsing.2020.21q
DC.subject	Hodge theory
	log Hodge structure
	log higher Albanese map
	polylogarithm
	zeta value
DCTERMS.abstract	In a joint work with Kazuya Kato and Chikara Nakayama, log higher Albanese manifolds were constructed as an application of log mixed Hodge theory with group action. In this framework, we describe a work of Deligne on some nilpotent quotients of the fundamental group of the projective line minus three points, where polylogarithms appear. As a result, we have q-expansions of higher Albanese maps at boundary points, i.e., log higher Albanese maps over the boundary.
DC.format	75301
citation_title	A description of a result of Deligne by log higher Albanese map
citation_author	Usui, Sampei
citation_publisher	Worldwide Center of Mathematics LLC
citation_language	英語
citation_date	2020
citation_journal_title	Journal of Singularities
citation_volume	21
citation_firstpage	282
citation_lastpage	300
citation_doi	https://doi.org/10.5427/jsing.2020.21q
citation_public_url	https://hdl.handle.net/11094/75301