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

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.

preprint2010arXivOpen access
Kefeng LiuAndrey TodorovShing-Tung YauKang Zuo
math.AG
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Open access4 authors1 topic
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Kefeng LiuAndrey TodorovShing-Tung YauKang Zuo

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