Analyticity of the closures of some Hodge theoretic subspaces

Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2011, 87(9), 167-172

アクセス数:144件（2025-03-27 15:55 集計）

固定URL: https://hdl.handle.net/11094/73391

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タイトル	Analyticity of the closures of some Hodge theoretic subspaces
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
キーワード等	Hodge theory
	log geometry
	intermediate Jacobian
	Néron model
抄録	In this paper, we prove a general theorem concerning the analyticity of the closure of a subspace defined by a family of variations of mixed Hodge structures, which includes the analyticity of the zero loci of degenerating normal functions. For the proof, we use a moduli of the valuative version of log mixed Hodge structures.
出版者	The Japan Academy
	日本学士院
	ニホン　ガクシイン
収録物名	Proceedings of the Japan Academy, Series A, Mathematical Sciences
巻(号)	87(9)
ページ	167-172
刊行年月	2011
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73391
PISSN	03862194
NCID	AA00785474
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.3792/pjaa.87.167
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	Proceedings of the Japan Academy, Series A, Mathematical Sciences. 2011, 87(9), p. 167-172
DC.title	Analyticity of the closures of some Hodge theoretic subspaces
DC.creator	Kato, Kazuya
	Nakayama, Chikara
	Usui, Sampei
DC.publisher	The Japan Academy
	日本学士院
	ニホン　ガクシイン
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2011
DC.identifier	https://doi.org/10.3792/pjaa.87.167
DC.subject	Hodge theory
	log geometry
	intermediate Jacobian
	Néron model
DCTERMS.abstract	In this paper, we prove a general theorem concerning the analyticity of the closure of a subspace defined by a family of variations of mixed Hodge structures, which includes the analyticity of the zero loci of degenerating normal functions. For the proof, we use a moduli of the valuative version of log mixed Hodge structures.
DC.format	73391
citation_title	Analyticity of the closures of some Hodge theoretic subspaces
citation_author	Kato, Kazuya
	Nakayama, Chikara
	Usui, Sampei
citation_publisher	The Japan Academy
citation_language	英語
citation_date	2011
citation_journal_title	Proceedings of the Japan Academy, Series A, Mathematical Sciences
citation_volume	87
citation_issue	9
citation_firstpage	167
citation_lastpage	172
citation_doi	https://doi.org/10.3792/pjaa.87.167
citation_public_url	https://hdl.handle.net/11094/73391