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K3-fibered Calabi-Yau threefolds I, the twist map

Bruce Hunt·Rolf Schimmrigk
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Abstract

A construction of Calabi-Yaus as quotients of products of lower-dimensional spaces in the context of weighted hypersurfaces is discussed, including desingularisation. The construction leads to Calabi-Yaus which have a fiber structure, in particular one case has K3 surfaces as fibers. These Calabi-Yaus are of some interest in connection with Type II -heterotic string dualities in dimension 4. A section at the end of the paper summarises this for the non-expert mathematician.

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Bruce Hunt, Rolf Schimmrigk. 1999-04-14. K3-fibered Calabi-Yau threefolds I, the twist map. https://doi.org/10.1142/s0129167x99000367

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