Trilinear forms and Chern classes of Calabi--Yau threefolds

Let X be a Calabi--Yau threefold and \mu the symmetric trilinear form on the second cohomology group H^{2}(X,\mathbb{Z}) defined by the cup product. We investigate the interplay between the Chern classes c_{2}(X), c_{3}(X) and the trilinear form \mu, and demonstrate some numerical relations between...

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Veröffentlicht in:	Osaka journal of mathematics 2014, Vol.51 (no. 1), p.203-215
Hauptverfasser:	Kanazawa, Atsushi, Wilson, P.M.H
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Sprache:	eng
Schlagworte:	14F45 14J32
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description	Let X be a Calabi--Yau threefold and \mu the symmetric trilinear form on the second cohomology group H^{2}(X,\mathbb{Z}) defined by the cup product. We investigate the interplay between the Chern classes c_{2}(X), c_{3}(X) and the trilinear form \mu, and demonstrate some numerical relations between them. When the cubic form \mu(x,x,x) has a linear factor over \mathbb{R}, some properties of the linear form and the residual quadratic form are also obtained.
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source	Project Euclid_欧几里德项目期刊; Project Euclid_OA刊; Freely Accessible Japanese Titles; EZB-FREE-00999 freely available EZB journals
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title	Trilinear forms and Chern classes of Calabi--Yau threefolds
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