摘要

In this paper, we construct certain algebraic correspondences between genus three curves and certain type of Calabi-Yau threefolds which are double coverings of three dimensional projective spaces. Via this correspondence, the first cohomology groups of the curve, can be embedded into the third cohomology groups of the Calabi-Yau three folds. Moreover we prove that the cokernel of this inclusion of variations of Hodge structures cannot be a factor of any variations of Hodge structures comming from polarized abelian schemes.

  • 出版日期2010-2