TRILINEAR FORMS AND CHERN CLASSES OF CALABI–YAU THREEFOLDS

Wilson, P. M. H.; Kanazawa, Atsushi

doi:https://doi.org/10.18910/29194

TRILINEAR FORMS AND CHERN CLASSES OF CALABI–YAU THREEFOLDS

Wilson, P. M. H.; Kanazawa, Atsushi

Osaka Journal of Mathematics, 2014, 51(1), 203-213

アクセス数:141件（2025-05-09 19:11 集計）

固定URL: https://doi.org/10.18910/29194

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タイトル	TRILINEAR FORMS AND CHERN CLASSES OF CALABI–YAU THREEFOLDS
著者	著者名 Wilson, P. M. H.
著者	著者名 Kanazawa, Atsushi
抄録	Let X be a Calabi–Yau threefold and μ the symmetric trilinear form on the second cohomology group H^2(X, Z) defined by the cup product. We investigate the interplay between the Chern classes c2(X), c3(X) and the trilinear form μ, and demonstrate some numerical relations between them. When the cubic form μ(x, x, x) has a linear factor over R, some properties of the linear form and the residual quadratic form are also obtained.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	51(1)
ページ	203-213
刊行年月	2014-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/29194
DOI	https://doi.org/10.18910/29194
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 51, Number 1　(2014-1）

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. 2014, 51(1), p. 203-213
DC.title	TRILINEAR FORMS AND CHERN CLASSES OF CALABI–YAU THREEFOLDS
DC.creator	Wilson, P. M. H.
DC.creator	Kanazawa, Atsushi
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	2014-01
DCTERMS.abstract	Let X be a Calabi–Yau threefold and μ the symmetric trilinear form on the second cohomology group H^2(X, Z) defined by the cup product. We investigate the interplay between the Chern classes c2(X), c3(X) and the trilinear form μ, and demonstrate some numerical relations between them. When the cubic form μ(x, x, x) has a linear factor over R, some properties of the linear form and the residual quadratic form are also obtained.
DC.identifier	10.18910/29194
DC.format	29194
citation_title	TRILINEAR FORMS AND CHERN CLASSES OF CALABI–YAU THREEFOLDS
citation_author	Wilson, P. M. H.
citation_author	Kanazawa, Atsushi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2014-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	51
citation_issue	1
citation_firstpage	203
citation_lastpage	213
citation_public_url	https://hdl.handle.net/11094/29194
citation_doi_detail	10.18910/29194
citation_doi	https://doi.org/10.18910/29194

TRILINEAR FORMS AND CHERN CLASSES OF CALABI–YAU THREEFOLDS

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