NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS

Misra, Snehajit; Ray, Nabanita

doi:https://doi.org/10.18910/88490

NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS

Misra, Snehajit; Ray, Nabanita

Osaka Journal of Mathematics, 2022, 59(3), 639-651

アクセス数:119件（2025-05-17 11:31 集計）

固定URL: https://doi.org/10.18910/88490

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タイトル	NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS
著者	著者名 Misra, Snehajit
著者	著者名 Ray, Nabanita
抄録	In this article, we give a description of the closed cone of curves of the projective bundle P(E) over a smooth projective variety X. Using duality, we then calculate the nef cone of divisors in P(E) over some special surfaces X and for some special bundles on X. As an application, we also calculate the Seshadri constants of semistable ample vector bundles with vanishing discriminant on some special ruled surfaces at special points.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	59(3)
ページ	639-651
刊行年月	2022-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/88490
DOI	https://doi.org/10.18910/88490
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 3 （2022-7）

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(3), p. 639-651
DC.title	NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS
DC.creator	Misra, Snehajit
DC.creator	Ray, Nabanita
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	2022-07
DCTERMS.abstract	In this article, we give a description of the closed cone of curves of the projective bundle P(E) over a smooth projective variety X. Using duality, we then calculate the nef cone of divisors in P(E) over some special surfaces X and for some special bundles on X. As an application, we also calculate the Seshadri constants of semistable ample vector bundles with vanishing discriminant on some special ruled surfaces at special points.
DC.identifier	10.18910/88490
DC.format	88490
citation_title	NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS
citation_author	Misra, Snehajit
citation_author	Ray, Nabanita
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2022-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	59
citation_issue	3
citation_firstpage	639
citation_lastpage	651
citation_public_url	https://hdl.handle.net/11094/88490
citation_doi_detail	10.18910/88490
citation_doi	https://doi.org/10.18910/88490

NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS

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