Searching for K3 Fibrations

Details Searching for K3 Fibrations Searching for K3 Fibrations

1996-10-20

arxiv.org/abs/hep-th/9610154v1

Nucl.Phys. B494 (1997) 567-589

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX2e, 4 eps figures, uses packages amssymb,latexsym,cite,epic

Scientific paper

10.1016/S0550-3213(97)00214-9

We present two methods for studying fibrations of Calabi-Yau manifolds embedded in toric varieties described by single weight systems. We analyse 184,026 such spaces and identify among them 124,701 which are K3 fibrations. As some of the weights give rise to two or three distinct types of fibrations, the total number we find is 167,406. With our methods one can also study elliptic fibrations of 3-folds and K3 surfaces. We also calculate the Hodge numbers of the 3-folds obtaining more than three times as many as were previously known.

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