MORI DREAM SPACES EXTREMAL CONTRACTIONS OF K3 SURFACES

Garbagnati, Alice

doi:info:doi/10.18910/66993

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タイトル	MORI DREAM SPACES EXTREMAL CONTRACTIONS OF K3 SURFACES
著者	Garbagnati, Alice Garbagnati, Alice
抄録	We will give a criterion to assure that an extremal contraction of a K3 surface which is not a Mori Dream Space produces a singular surface which is a Mori Dream Space. We list the possible N´eron–Severi groups of K3 surfaces with this property and an extra geometric condition such that the Picard number is greater than or equal to 10. We give a detailed description of two geometric examples for which the Picard number of the K3 surface is 3, i.e. the minimal possible in order to have the required property. Moreover we observe that there are infinitely many examples of K3 surfaces with the required property and Picard number equal to 3.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	54
号	3
開始ページ	409
終了ページ	433
刊行年月	2017-07
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/66993
言語	英語
DOI	info:doi/10.18910/66993
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 54, Number 3 （2017-7）

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.54(3) P.409-P.433
DC.title	MORI DREAM SPACES EXTREMAL CONTRACTIONS OF K3 SURFACES
DC.creator	Garbagnati, Alice
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2017-07
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/66993
DCTERMS.abstract	We will give a criterion to assure that an extremal contraction of a K3 surface which is not a Mori Dream Space produces a singular surface which is a Mori Dream Space. We list the possible N´eron–Severi groups of K3 surfaces with this property and an extra geometric condition such that the Picard number is greater than or equal to 10. We give a detailed description of two geometric examples for which the Picard number of the K3 surface is 3, i.e. the minimal possible in order to have the required property. Moreover we observe that there are infinitely many examples of K3 surfaces with the required property and Picard number equal to 3.
DC.identifier	info:doi/10.18910/66993
citation_title	MORI DREAM SPACES EXTREMAL CONTRACTIONS OF K3 SURFACES
citation_author	Garbagnati, Alice
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2017-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	3
citation_firstpage	409
citation_lastpage	433
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/66993
citation_doi	info:doi/10.18910/66993

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