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

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

1999-04-14

arxiv.org/abs/math/9904059v1

Mathematics

Algebraic Geometry

31 pages LaTeX, 11pt, 2 figures. To appear in International Journal of Mathematics. On the web at http://personal-homepages.

Scientific paper

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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