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Calabi-Yau 4-folds and toric fibrations
1998
Journal of Geometry and Physics
We present a general scheme for identifying fibrations in the framework of toric geometry and provide a large list of weights for Calabi--Yau 4-folds. We find 914,164 weights with degree d<150 whose maximal Newton polyhedra are reflexive and 525,572 weights with degree d<4000 that give rise to weighted projective spaces such that the polynomial defining a hypersurface of trivial canonical class is transversal. We compute all Hodge numbers, using Batyrev's formulas (derived by toric methods) for
doi:10.1016/s0393-0440(97)00059-4
fatcat:q53dyqrfzvhdbfxamljx3jz4fm