Calabi-Yau Varieties and Pencils of K3 Surfaces
alg-geom
2008-02-03 v2 High Energy Physics - Theory
Algebraic Geometry
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.
Cite
@article{arxiv.alg-geom/9603020,
title = {Calabi-Yau Varieties and Pencils of K3 Surfaces},
author = {S. Hosono and B. H. Lian and S. -T. Yau},
journal= {arXiv preprint arXiv:alg-geom/9603020},
year = {2008}
}
Comments
26 pages, harvmac; minor corrections, PlainTeX