BLOCH’S CONJECTURE FOR ENRIQUES VARIETIES

Laterveer, Robert

Osaka Journal of Mathematics, 2018, 55(3), 423-438

アクセス数:89件（2025-07-15 08:59 集計）

固定URL: https://doi.org/10.18910/70080

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タイトル	BLOCH’S CONJECTURE FOR ENRIQUES VARIETIES
著者	著者名 Laterveer, Robert
抄録	Enriques varieties have been defined as higher–dimensional generalizations of Enriques surfaces. Bloch’s conjecture implies that Enriques varieties should have trivial Chow group of zero–cycles. We prove this is the case for all known examples of irreducible Enriques varieties of index larger than 2. The proof is based on results concerning the Chow motive of generalized Kummer varieties.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(3)
ページ	423-438
刊行年月	2018-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/70080
DOI	https://doi.org/10.18910/70080
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 55, Number 3 （2018-7）

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. 2018, 55(3), p. 423-438
DC.title	BLOCH’S CONJECTURE FOR ENRIQUES VARIETIES
DC.creator	Laterveer, Robert
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	2018-07
DCTERMS.abstract	Enriques varieties have been defined as higher–dimensional generalizations of Enriques surfaces. Bloch’s conjecture implies that Enriques varieties should have trivial Chow group of zero–cycles. We prove this is the case for all known examples of irreducible Enriques varieties of index larger than 2. The proof is based on results concerning the Chow motive of generalized Kummer varieties.
DC.identifier	10.18910/70080
DC.format	70080
citation_title	BLOCH’S CONJECTURE FOR ENRIQUES VARIETIES
citation_author	Laterveer, Robert
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	3
citation_firstpage	423
citation_lastpage	438
citation_public_url	https://hdl.handle.net/11094/70080
citation_doi_detail	10.18910/70080
citation_doi	https://doi.org/10.18910/70080