BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC

Das, Omprokash

doi:https://doi.org/10.18910/86335

BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC

Das, Omprokash

Osaka Journal of Mathematics, 2022, 59(1), 65-74

アクセス数:77件（2025-07-15 11:24 集計）

固定URL: https://doi.org/10.18910/86335

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タイトル	BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC
著者	著者名 Das, Omprokash
抄録	In this article we prove the following boundedness result: Fix a DCC set I ⊆ [0, 1]. Let D be the set of all log pairs (X, Δ) satisfying the following properties: (i) X is a projective surface defined over an algebraically closed field, (ii) (X, Δ) is log canonical and the coefficients of Δ are in I, and (iii) Kₓ + Δ is big. Then there is a positive integer N = N(I) depending only on the set I such that the linear system \|⎿m(Kₓ +Δ)⏌\| defines a birational map onto its image for all m ≥ N and (X, Δ) ∈ D.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	59(1)
ページ	65-74
刊行年月	2022-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/86335
DOI	https://doi.org/10.18910/86335
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 59, Number 1 （2022-1）

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. 2022, 59(1), p. 65-74
DC.title	BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC
DC.creator	Das, Omprokash
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	2022-01
DCTERMS.abstract	In this article we prove the following boundedness result: Fix a DCC set I ⊆ [0, 1]. Let D be the set of all log pairs (X, Δ) satisfying the following properties: (i) X is a projective surface defined over an algebraically closed field, (ii) (X, Δ) is log canonical and the coefficients of Δ are in I, and (iii) Kₓ + Δ is big. Then there is a positive integer N = N(I) depending only on the set I such that the linear system \|⎿m(Kₓ +Δ)⏌\| defines a birational map onto its image for all m ≥ N and (X, Δ) ∈ D.
DC.identifier	10.18910/86335
DC.format	86335
citation_title	BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC
citation_author	Das, Omprokash
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2022-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	59
citation_issue	1
citation_firstpage	65
citation_lastpage	74
citation_public_url	https://hdl.handle.net/11094/86335
citation_doi_detail	10.18910/86335
citation_doi	https://doi.org/10.18910/86335

BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC

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