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

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.

preprint2013arXivOpen access
Henning HollbornStefan Müller-Stach
math.AG
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Henning HollbornStefan Müller-Stach

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