SL(2)-orbit theorem for degeneration of mixed Hodge structure

Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

doi:https://doi.org/10.1090/s1056-3911-07-00486-9

SL(2)-orbit theorem for degeneration of mixed Hodge structure

Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Journal of Algebraic Geometry, 2008, 17, 401-479

アクセス数:307件（2025-07-01 10:27 集計）

固定URL: https://hdl.handle.net/11094/73425

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タイトル	SL(2)-orbit theorem for degeneration of mixed Hodge structure
著者	NRID 1000090111450 1000090111450 著者名 Kato, Kazuya ; カトウ, カズヤ ; 加藤, 和也
	NRID 1000070272664 1000070272664 著者名 Nakayama, Chikara ; ナカヤマ, チカラ ; 中山, 能力
	NRID 1000090117002 1000090117002 著者名 Usui, Sampei ; ウスイ, サンペイ ; 臼井, 三平
内容	First published in the Journal of Algebraic Geometry in vol.17 (2008), published by University Press, Inc
抄録	In [CKS], Cattani, Kaplan and Schmid (1986) established the SL(2)-orbit theorem in several variables for the degeneration of polarized Hodge structure. The aim of the present paper is to generalize it for the degeneration of mixed Hodge structure whose graded quotients by the weight filtration are polarized. As an application, we obtain a mixed Hodge version of an estimate of the Hodge metric for the degeneration of polarized Hodge structure in [Sc], [CKS], [K1].
出版者	University Press
収録物名	Journal of Algebraic Geometry
巻(号)	17
ページ	401-479
刊行年月	2008
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73425
PISSN	10563911
NCID	AA10804440
関連情報 (isVersionOf)	DOI (出版社版) https://doi.org/10.1090/s1056-3911-07-00486-9
アクセス権	open access
権利情報	© 2008 by University Press, Inc. All rights reserved
出版タイプ	Accepted Manuscript
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 Algebraic Geometry. 2008, 17, p. 401-479
DC.title	SL(2)-orbit theorem for degeneration of mixed Hodge structure
DC.creator	Kato, Kazuya
	カトウ, カズヤ
	加藤, 和也
	Nakayama, Chikara
	ナカヤマ, チカラ
	中山, 能力
	Usui, Sampei
	ウスイ, サンペイ
	臼井, 三平
DC.publisher	University Press
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2008
DC.identifier	https://doi.org/10.1090/s1056-3911-07-00486-9
DC.description	First published in the Journal of Algebraic Geometry in vol.17 (2008), published by University Press, Inc
DCTERMS.abstract	In [CKS], Cattani, Kaplan and Schmid (1986) established the SL(2)-orbit theorem in several variables for the degeneration of polarized Hodge structure. The aim of the present paper is to generalize it for the degeneration of mixed Hodge structure whose graded quotients by the weight filtration are polarized. As an application, we obtain a mixed Hodge version of an estimate of the Hodge metric for the degeneration of polarized Hodge structure in [Sc], [CKS], [K1].
DC.rights	© 2008 by University Press, Inc. All rights reserved
DC.format	73425
citation_title	SL(2)-orbit theorem for degeneration of mixed Hodge structure
citation_author	Kato, Kazuya
	Nakayama, Chikara
	Usui, Sampei
citation_publisher	University Press
citation_language	英語
citation_date	2008
citation_journal_title	Journal of Algebraic Geometry
citation_volume	17
citation_firstpage	401
citation_lastpage	479
citation_doi	https://doi.org/10.1090/s1056-3911-07-00486-9
citation_public_url	https://hdl.handle.net/11094/73425

SL(2)-orbit theorem for degeneration of mixed Hodge structure

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