A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM

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タイトル	A TRANSCENDENTAL APPROACH TO KOLLÁR’S INJECTIVITY THEOREM
著者	Fujino, Osamu 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	3
開始ページ	833
終了ページ	852
刊行年月	2012-09
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23148
言語	英語
DOI	info:doi/10.18910/23148

著者版フラグ	publisher
NII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.49(3) P.833-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-09
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23148
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	info:doi/10.18910/23148
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23148
citation_doi	info:doi/10.18910/23148