A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM

Fujino, Osamu

Osaka Journal of Mathematics, 2012, 49(3), 833-852

アクセス数:270件（2025-07-16 05:27 集計）

固定URL: https://doi.org/10.18910/23148

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タイトル	A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM
著者	NRID 1000060324711 1000060324711 著者名 Fujino, Osamu
抄録	We treat Kollár's injectivity theorem from the analytic (or differential geometric) viewpoint. More precisely, we give a curvature condition which implies Kollár type cohomology injectivity theorems. Our main theorem is formulated for a compact Kähler manifold, but the proof uses the space of harmonic forms on a Zariski open set with a suitable complete Kähler metric. We need neither covering tricks, desingularizations, nor Leray's spectral sequence.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(3)
ページ	833-852
刊行年月	2012-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23148
DOI	https://doi.org/10.18910/23148
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 49, Number 3　(2012-9）

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. 2012, 49(3), p. 833-852
DC.title	A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM
DC.creator	Fujino, Osamu
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	2012-09
DCTERMS.abstract	We treat Kollár's injectivity theorem from the analytic (or differential geometric) viewpoint. More precisely, we give a curvature condition which implies Kollár type cohomology injectivity theorems. Our main theorem is formulated for a compact Kähler manifold, but the proof uses the space of harmonic forms on a Zariski open set with a suitable complete Kähler metric. We need neither covering tricks, desingularizations, nor Leray's spectral sequence.
DC.identifier	10.18910/23148
DC.format	23148
citation_title	A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM
citation_author	Fujino, Osamu
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	3
citation_firstpage	833
citation_lastpage	852
citation_public_url	https://hdl.handle.net/11094/23148
citation_doi_detail	10.18910/23148
citation_doi	https://doi.org/10.18910/23148