Calabi-Yau Varieties and Pencils of K3 Surfaces

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.

26 pages, harvmac; minor corrections, PlainTeX

References in corpus (4)

• Exact Results for N=2 Compactifications of Heterotic Strings
• K3--Fibrations and Heterotic-Type II String Duality
• GKZ-Generalized Hypergeometric Systems in Mirror Symmetry of Calabi-Yau Hypersurfaces
• Heterotic-Heterotic String Duality and Multiple K3 Fibrations

Cited by in corpus (8)

• Introduction to Seiberg-Witten Theory and its Stringy Origin
• An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
• Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
• Type I' and Real Algebraic Geometry
• Heterotic String Models on Smooth Calabi-Yau Threefolds
• Reflexive polyhedra, weights and toric Calabi-Yau fibrations
• Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces
• Dualities between K3 fibered Calabi-Yau three-folds