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arXiv · 1010.4141

Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling

Kefeng Liu·Andrey Todorov·Shing-Tung Yau·Kang Zuo
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Abstract

We give a simplified and more algebraic proof of the finiteness of the families of Calabi-Yau n-folds with non-vanishing of Yukawa-coupling over a fixed base curve and with fixed degeneration locus. We also give a generalization of this result. Our method is variation of Hodge structure and poly-stability of Higgs bundles.

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Kefeng Liu, Andrey Todorov, Shing-Tung Yau, Kang Zuo. 2010-10-20. Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling. https://arxiv.org/abs/1010.4141

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