Trilinear forms and chern classes of calabi-yau threefolds

Atsushi Kanazawa, P. M.H. Wilson

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)203-213
Number of pages11
JournalOsaka Journal of Mathematics
Issue number1
Publication statusPublished - 2014 Jan
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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