Trilinear forms and chern classes of calabi-yau threefolds

Atsushi Kanazawa, P. M.H. Wilson

研究成果: Article査読

5 被引用数 (Scopus)

抄録

Let X be a Calabi-Yau threefold and μ the symmetric trilinear form on the second cohomology group H2(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.

本文言語English
ページ(範囲)203-213
ページ数11
ジャーナルOsaka Journal of Mathematics
51
1
出版ステータスPublished - 2014 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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