The modularity of certain non-rigid Calabi-Yau threefolds

Ron Livné, Noriko Yui

Let $X$ be a Calabi--Yau threefold fibred over ${\mathbb{P}}^1$ by non-constant semi-stable K3 surfaces and reaching the Arakelov--Yau bound. In [STZ], X. Sun, Sh.-L. Tan, and K. Zu…