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arXiv · 0911.0277

Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds

Pedro Luis del Angel·Stefan Müller-Stach·Duco van Straten·Kang Zuo
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Abstract

We use $L^2$-Higgs cohomology to determine the Hodge numbers of the parabolic cohomology $H^1(\bar S, j_*\V)$, where the local system $\V$ arises from the third primitive cohomology of family of Calabi-Yau threefolds over a curve $\bar S$. The method gives a way to predict the presence of algebraic 2-cycles in the total space of the family and is applied to some examples.

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Pedro Luis del Angel, Stefan Müller-Stach, Duco van Straten, Kang Zuo. 2009-11-02. Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds. https://arxiv.org/abs/0911.0277

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