SOME NEW FANO VARIETIES WITH A MULTIPLICATIVE CHOW–KÜNNETH DECOMPOSITION

Laterveer, Robert

Osaka Journal of Mathematics, 2023, 60(1), 15-30

アクセス数:73件（2025-07-02 05:27 集計）

固定URL: https://doi.org/10.18910/89990

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タイトル	SOME NEW FANO VARIETIES WITH A MULTIPLICATIVE CHOW–KÜNNETH DECOMPOSITION
著者	著者名 Laterveer, Robert
抄録	Let Y be a smooth dimensionally transverse intersection of the Grassmannian Gr(2, n) with 3 Plücker hyperplanes. We show that Y admits a multiplicative Chow–Künneth decomposition, in the sense of Shen–Vial. As a consequence, a certain tautological subring of the Chow ring of powers of Y injects into cohomology.
出版者	Osaka University and Osaka Metropolitan University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(1)
ページ	15-30
刊行年月	2023-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/89990
DOI	https://doi.org/10.18910/89990
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 60, Number 1 （2023-1）

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. 2023, 60(1), p. 15-30
DC.title	SOME NEW FANO VARIETIES WITH A MULTIPLICATIVE CHOW–KÜNNETH DECOMPOSITION
DC.creator	Laterveer, Robert
DC.publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-01
DCTERMS.abstract	Let Y be a smooth dimensionally transverse intersection of the Grassmannian Gr(2, n) with 3 Plücker hyperplanes. We show that Y admits a multiplicative Chow–Künneth decomposition, in the sense of Shen–Vial. As a consequence, a certain tautological subring of the Chow ring of powers of Y injects into cohomology.
DC.identifier	10.18910/89990
DC.format	89990
citation_title	SOME NEW FANO VARIETIES WITH A MULTIPLICATIVE CHOW–KÜNNETH DECOMPOSITION
citation_author	Laterveer, Robert
citation_publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
citation_language	英語
citation_date	2023-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	1
citation_firstpage	15
citation_lastpage	30
citation_public_url	https://hdl.handle.net/11094/89990
citation_doi_detail	10.18910/89990
citation_doi	https://doi.org/10.18910/89990