STABILITY CONDITIONS AND μ-STABLE SHEAVES ON K^3 SURFACES WITH PICARD NUMBER ONE

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タイトル	STABILITY CONDITIONS AND μ-STABLE SHEAVES ON K^3 SURFACES WITH PICARD NUMBER ONE
著者	Kawatani, Kotaro Kawatani, Kotaro
抄録	In this article, we show that some semi-rigid μ-stable sheaves on a projective K3 surface X with Picard number 1 are stable under Bridgeland's stability condition. As a consequence of our work, we show that the special set U(X)⊂Stab(X) introduced by Bridgeland reconstructs X itself. This gives a sharp contrast to the case of an abelian surface.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	4
開始ページ	1005
終了ページ	1034
刊行年月	2012-12
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23418
言語	英語
DOI	info:doi/10.18910/23418
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 49, Number 4　(2012-12）

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(4) P.1005-P.1034
DC.title	STABILITY CONDITIONS AND μ-STABLE SHEAVES ON K^3 SURFACES WITH PICARD NUMBER ONE
DC.creator	Kawatani, Kotaro
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-12
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23418
DCTERMS.abstract	In this article, we show that some semi-rigid μ-stable sheaves on a projective K3 surface X with Picard number 1 are stable under Bridgeland's stability condition. As a consequence of our work, we show that the special set U(X)⊂Stab(X) introduced by Bridgeland reconstructs X itself. This gives a sharp contrast to the case of an abelian surface.
DC.identifier	info:doi/10.18910/23418
citation_title	STABILITY CONDITIONS AND μ-STABLE SHEAVES ON K^3 SURFACES WITH PICARD NUMBER ONE
citation_author	Kawatani, Kotaro
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	1005
citation_lastpage	1034
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23418
citation_doi	info:doi/10.18910/23418