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arXiv · alg-geom/9603020

Calabi-Yau Varieties and Pencils of K3 Surfaces

S. Hosono·B. H. Lian·S. -T. Yau
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Abstract

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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S. Hosono, B. H. Lian, S. -T. Yau. 1996-04-01. Calabi-Yau Varieties and Pencils of K3 Surfaces. https://arxiv.org/abs/alg-geom/9603020

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