Slope inequalities for fibred surfaces via GIT

Stoppino, Lidia

Osaka Journal of Mathematics, 2008, 45(4), 1027-1041

アクセス数:141件（2025-03-23 01:15 集計）

固定URL: https://doi.org/10.18910/4021

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
ojm45_04_11	pdf	なし	252 KB	129	2012.09.22

タイトル	Slope inequalities for fibred surfaces via GIT
著者	著者名 Stoppino, Lidia
抄録	In this paper we present a generalisation of a theorem due to Cornalba and Harris, which is an application of Geometric Invariant Theory to the study of invariants of fibrations. In particular, our generalisation makes it possible to treat the problem of bounding the invariants of general fibred surfaces. As a first application, we give a new proof of the slope inequality and of a bound for the invariants associated to double cover fibrations.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	45(4)
ページ	1027-1041
刊行年月	2008-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/4021
DOI	https://doi.org/10.18910/4021
PISSN	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
カテゴリ	Osaka Journal of Mathematics / Volume 45, Number 4　(2008）

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
作成日	2008-12
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2008, 45(4), p. 1027-1041
DC.title	Slope inequalities for fibred surfaces via GIT
DC.creator	Stoppino, Lidia
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	2008-12
DCTERMS.abstract	In this paper we present a generalisation of a theorem due to Cornalba and Harris, which is an application of Geometric Invariant Theory to the study of invariants of fibrations. In particular, our generalisation makes it possible to treat the problem of bounding the invariants of general fibred surfaces. As a first application, we give a new proof of the slope inequality and of a bound for the invariants associated to double cover fibrations.
DC.identifier	10.18910/4021
DC.format	4021
citation_title	Slope inequalities for fibred surfaces via GIT
citation_author	Stoppino, Lidia
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2008-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	45
citation_issue	4
citation_firstpage	1027
citation_lastpage	1041
citation_public_url	https://hdl.handle.net/11094/4021
citation_doi_detail	10.18910/4021
citation_doi	https://doi.org/10.18910/4021