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arXiv · 1302.3047

Hodge numbers for the cohomology of Calabi-Yau type local systems

Henning Hollborn·Stefan Müller-Stach
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Abstract

We use Higgs cohomology to determine the Hodge numbers of the first intersection cohomology group of a local system V arising from the third direct image of a family of Calabi-Yau 3-folds over a smooth, quasi-projective curve. We give applications to Rhode's families of Calabi-Yau 3-folds without MUM.

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Henning Hollborn, Stefan Müller-Stach. 2013-02-13. Hodge numbers for the cohomology of Calabi-Yau type local systems. https://arxiv.org/abs/1302.3047

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