Calabi-Yau varieties and pencils of K3 surfaces

S Hosono BH Lian Shing-Tung Yau

Algebraic Geometry mathscidoc:1912.43592

arXiv preprint alg-geom/9603020, 1996.3
In this note, we give a list of Calabi-Yau hypersurfaces in weighted projective 4-spaces with the property that a hypersurface contains naturally a pencil of K3 variety. For completeness we also obtain a similar list in the case K3 hypersurfaces in weighted projective 3-spaces. The first list significantly enlarges the list of K3-fibrations of\KlemmLercheMayr~ which has been obtained on some assumptions on the weights. Our lists are expected to correspond to examples of the so-called heterotic-type II duality\KachruVafa\KachruSilverstein.
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@inproceedings{s1996calabi-yau,
  title={Calabi-Yau varieties and pencils of K3 surfaces},
  author={S Hosono, BH Lian, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204311587071156},
  booktitle={arXiv preprint alg-geom/9603020},
  year={1996},
}
S Hosono, BH Lian, and Shing-Tung Yau. Calabi-Yau varieties and pencils of K3 surfaces. 1996. In arXiv preprint alg-geom/9603020. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204311587071156.
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