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Defect and Hodge numbers of hypersurfaces
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Sławomir Rams
Published/Copyright:
May 21, 2008
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 Aj singularities.
Received: 2006-12-20
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008
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Articles in the same Issue
- A Kantor family admitting a normal F-factor constitutes a p-group
- Planar compact sets whose intersections are starshaped via orthogonally convex paths
- An improvement of a theorem of Van de Ven
- Quadratic modules of polynomials in two variables
- On arithmetic Zariski pairs in degree 6
- Ample vector bundles with zero loci of small Δ-genera
- Defect and Hodge numbers of hypersurfaces
- On rational maps from a general surface in to surfaces of general type
- Location of radial centres of convex bodies
