Maximal families of Calabi-Yau manifolds with minimal length Yukawa coupling

Mao Sheng, Jinxing Xu, Kang Zuo

For each natural odd number $n\ge 3$, we exhibit a maximal family of $n$-dimensional Calabi-Yau manifolds whose Yukawa coupling length is one. As a consequence, Shafarevich's conj…