Trilinear forms and Chern classes of Calabi-Yau threefolds

Atsushi Kanazawa; P. M. H. Wilson

Trilinear forms and Chern classes of Calabi-Yau threefolds

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arxiv 1201.3266 v3 pith:BYLVTV55 submitted 2012-01-16 math.AG math-phmath.MP

Atsushi Kanazawa , P. M. H. Wilson This is my paper

classification math.AGmath-phmath.MP

keywords formtrilinearcalabi-yauchernclasseslinearsomecohomology

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Let X be a Calabi-Yau threefold and \mu 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 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 \R, some properties of the linear form and the residual quadratic form are also obtained.

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