Defect and Hodge numbers of hypersurfaces
Algebraic Geometry
2012-09-25 v1
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.
Keywords
Cite
@article{arxiv.math/0702114,
title = {Defect and Hodge numbers of hypersurfaces},
author = {Slawomir Rams},
journal= {arXiv preprint arXiv:math/0702114},
year = {2012}
}
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25 pages