具有Yukawa耦合最大长度的曲线上Calabi-Yau n-折叠子族的连续性
Finiteness of Subfamilies of Calabi-Yau n-Folds over Curves with Maximal Length of Yukawa-Coupling
摘要：
本文给出了在固定基曲线和固定退化轨迹上Yukawa耦合不为零的Calabi-Yau n-folds族的有限性的一个简化和更代数的证明。我们也给出了这个结果的一个推广。我们的方法是Hodge结构的变分和Higgs束的多稳定性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
