FOURIER–MUKAI PARTNERS OF ELLIPTIC RULED SURFACES OVER ARBITRARY CHARACTERISTIC FIELDS

Uehara, Hokuto; Watanabe, Tomonobu

Osaka Journal of Mathematics, 2025, 62(1), 145-168

アクセス数:80件（2026-02-15 22:21 集計）

固定URL: https://doi.org/10.18910/100448

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タイトル	FOURIER–MUKAI PARTNERS OF ELLIPTIC RULED SURFACES OVER ARBITRARY CHARACTERISTIC FIELDS
著者	NRID 1000080378546 1000080378546 著者名 Uehara, Hokuto
著者	著者名 Watanabe, Tomonobu
抄録	The first author explicitly describes the set of Fourier–Mukai partners of elliptic ruled surfaces over the complex number field in [30]. In this article, we generalize it over arbitrary characteristic fields. We also obtain a partial evidence of the Popa–Schnell conjecture in the proof.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	62(1)
ページ	145-168
刊行年月	2025-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/100448
DOI	https://doi.org/10.18910/100448
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 62, Number 1 （2025-01）

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. 2025, 62(1), p. 145-168
DC.title	FOURIER–MUKAI PARTNERS OF ELLIPTIC RULED SURFACES OVER ARBITRARY CHARACTERISTIC FIELDS
DC.creator	Uehara, Hokuto
DC.creator	Watanabe, Tomonobu
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	2025-01
DCTERMS.abstract	The first author explicitly describes the set of Fourier–Mukai partners of elliptic ruled surfaces over the complex number field in [30]. In this article, we generalize it over arbitrary characteristic fields. We also obtain a partial evidence of the Popa–Schnell conjecture in the proof.
DC.identifier	10.18910/100448
DC.format	100448
citation_title	FOURIER–MUKAI PARTNERS OF ELLIPTIC RULED SURFACES OVER ARBITRARY CHARACTERISTIC FIELDS
citation_author	Uehara, Hokuto
citation_author	Watanabe, Tomonobu
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2025-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	1
citation_firstpage	145
citation_lastpage	168
citation_public_url	https://hdl.handle.net/11094/100448
citation_doi_detail	10.18910/100448
citation_doi	https://doi.org/10.18910/100448