Defect and Hodge numbers of hypersurfaces

Details Defect and Hodge numbers of hypersurfaces Defect and Hodge numbers of hypersurfaces

2007-02-05

arxiv.org/abs/math/0702114v1

Mathematics

Algebraic Geometry

25 pages

Scientific paper

We define defect for hypersurfaces with A-D-E singularities in complex projective normal Cohen-Macaulay fourfolds having some vanishing properties of Bott-type and prove formulae for Hodge numbers of big resolutions of such hypersurfaces. We compute Hodge numbers of Calabi-Yau manifolds obtained as small resolutions of cuspidal triple sextics and double octics with higher A_j singularities.

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