Defect via differential forms with logarithmic poles
S. Cynk, S. Rams
TL;DR
This paper derives formulas for calculating Hodge numbers of large resolutions of certain singular hypersurfaces, utilizing differential forms with logarithmic poles under specific vanishing conditions.
Contribution
It introduces new formulae for Hodge numbers of big resolutions of singular hypersurfaces satisfying a Bott-type vanishing condition.
Findings
Formulas for Hodge numbers of big resolutions
Application of differential forms with logarithmic poles
Conditions under which the formulas hold
Abstract
We prove formulae for the Hodge numbers of big resolutions of singular hypersurfaces satisfying a Bott-type vanishing condition.
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