AFFINE CONES OVER FANO THREEFOLDS AND ADDITIVE GROUP ACTIONS

Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail

doi:https://doi.org/10.18910/50981

AFFINE CONES OVER FANO THREEFOLDS AND ADDITIVE GROUP ACTIONS

Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail

Osaka Journal of Mathematics, 2014, 51(4), 1093-1112

アクセス数:145件（2025-07-21 14:28 集計）

固定URL: https://doi.org/10.18910/50981

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タイトル	AFFINE CONES OVER FANO THREEFOLDS AND ADDITIVE GROUP ACTIONS
著者	NRID 1000020372576 1000020372576 著者名 Kishimoto, Takashi
	著者名 Prokhorov, Yuri
	著者名 Zaidenberg, Mikhail
抄録	In this paper we address the following questions for smooth Fano threefolds of Picard number 1: • When does such a threefold X possess an open cylinder U ≌ Z × A^<1>, where Z is a surface? • When does an affine cone over X admit an effective action of the additive group of the base field? A geometric criterion from [26] (see also [27]) says that the two questions above are equivalent. In [26] we found some interesting families of Fano threefolds carrying a cylinder. Here we provide new such examples.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(4)
ページ	1093-1112
刊行年月	2014-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/50981
DOI	https://doi.org/10.18910/50981
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 51, Number 4　(2014-10）

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. 2014, 51(4), p. 1093-1112
DC.title	AFFINE CONES OVER FANO THREEFOLDS AND ADDITIVE GROUP ACTIONS
DC.creator	Kishimoto, Takashi
	Prokhorov, Yuri
	Zaidenberg, Mikhail
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	2014-10
DCTERMS.abstract	In this paper we address the following questions for smooth Fano threefolds of Picard number 1: • When does such a threefold X possess an open cylinder U ≌ Z × A^<1>, where Z is a surface? • When does an affine cone over X admit an effective action of the additive group of the base field? A geometric criterion from [26] (see also [27]) says that the two questions above are equivalent. In [26] we found some interesting families of Fano threefolds carrying a cylinder. Here we provide new such examples.
DC.identifier	10.18910/50981
DC.format	50981
citation_title	AFFINE CONES OVER FANO THREEFOLDS AND ADDITIVE GROUP ACTIONS
citation_author	Kishimoto, Takashi
	Prokhorov, Yuri
	Zaidenberg, Mikhail
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	4
citation_firstpage	1093
citation_lastpage	1112
citation_public_url	https://hdl.handle.net/11094/50981
citation_doi_detail	10.18910/50981
citation_doi	https://doi.org/10.18910/50981

AFFINE CONES OVER FANO THREEFOLDS AND ADDITIVE GROUP ACTIONS

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