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arXiv:math/0702114 [math.AG]AbstractReferencesReviewsResources

Defect and Hodge numbers of hypersurfaces

Slawomir Rams

Published 2007-02-05Version 1

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.

Comments: 25 pages
Journal: Adv. Geom. 8 (2008), p. 257-288
Categories: math.AG
Subjects: 14J30, 14C30, 14Q10
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