SYMPLECTIC BIRATIONAL TRANSFORMATIONS OF THE PLANE

アクセス数:108件（2024-04-26 04:02 集計）

固定URL: https://doi.org/10.18910/25084

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
ojm50_02_573	pdf	なし	299 KB	97	2013.06.28

タイトル	SYMPLECTIC BIRATIONAL TRANSFORMATIONS OF THE PLANE
著者	著者名 Blanc, Jérémy
抄録	We study the group of symplectic birational transformations of the plane. It is proved that this group is generated by SL(2,Z), the torus and a special map of order 5, as it was conjectured by A. Usnich. Then we consider a special subgroup H, of finite type, defined over any field which admits a surjective morphism to the Thompson group of piecewise linear automorphisms of Z^2. We prove that the presentation for this group conjectured by Usnich is correct.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(2)
ページ	573-590
刊行年月	2013-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/25084
DOI	https://doi.org/10.18910/25084
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 50, Number 2　(2013-6）

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. 2013, 50(2), p. 573-590
DC.title	SYMPLECTIC BIRATIONAL TRANSFORMATIONS OF THE PLANE
DC.creator	Blanc, Jérémy
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	2013-06
DCTERMS.abstract	We study the group of symplectic birational transformations of the plane. It is proved that this group is generated by SL(2,Z), the torus and a special map of order 5, as it was conjectured by A. Usnich. Then we consider a special subgroup H, of finite type, defined over any field which admits a surjective morphism to the Thompson group of piecewise linear automorphisms of Z^2. We prove that the presentation for this group conjectured by Usnich is correct.
DC.identifier	10.18910/25084
DC.format	application/pdf
citation_title	SYMPLECTIC BIRATIONAL TRANSFORMATIONS OF THE PLANE
citation_author	Blanc, Jérémy
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	2
citation_firstpage	573
citation_lastpage	590
citation_public_url	https://hdl.handle.net/11094/25084
citation_doi_detail	10.18910/25084
citation_doi	https://doi.org/10.18910/25084