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Defect and Hodge numbers of hypersurfaces

Slawomir Rams
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Abstract

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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Slawomir Rams. 2007-02-05. Defect and Hodge numbers of hypersurfaces. https://doi.org/10.1515/advgeom.2008.017

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