A GENERALIZATION OF THE ROSS-THOMAS SLOPE THEORY

Odaka, Yuji

Osaka Journal of Mathematics, 2013, 50(1), 171-185

アクセス数:110件（2026-02-18 16:15 集計）

固定URL: https://hdl.handle.net/11094/24486

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タイトル	A GENERALIZATION OF THE ROSS-THOMAS SLOPE THEORY
著者	NRID 1000030700356 1000030700356 著者名 Odaka, Yuji
抄録	We give a formula for the Donaldson–Futaki invariants of certain type of semi test configurations, which essentially generalizes the Ross–Thomas slope theory [28]. The positivity (resp. non-negativity) of those “a priori special” Donaldson–Futaki invariants implies K-stability (resp. K-semistability). As an application, we prove the K-(semi)stability of certain polarized varieties with semi-log-canonical singularities, which generalizes some results of [28].
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(1)
ページ	171-185
刊行年月	2013-03
言語	英語
ハンドルURL	https://hdl.handle.net/11094/24486
ISSN	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

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. 2013, 50(1), p. 171-185
DC.title	A GENERALIZATION OF THE ROSS-THOMAS SLOPE THEORY
DC.creator	Odaka, Yuji
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-03
DCTERMS.abstract	We give a formula for the Donaldson–Futaki invariants of certain type of semi test configurations, which essentially generalizes the Ross–Thomas slope theory [28]. The positivity (resp. non-negativity) of those “a priori special” Donaldson–Futaki invariants implies K-stability (resp. K-semistability). As an application, we prove the K-(semi)stability of certain polarized varieties with semi-log-canonical singularities, which generalizes some results of [28].
DC.format	24486
citation_title	A GENERALIZATION OF THE ROSS-THOMAS SLOPE THEORY
citation_author	Odaka, Yuji
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-03
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	1
citation_firstpage	171
citation_lastpage	185
citation_issn	00306126
citation_public_url	https://hdl.handle.net/11094/24486