Singular Fibers and Kodaira Dimensions

Xin Lu, Sheng-Li Tan, Kang Zuo

Let $f:X\to {\mathbb{P}}^1$ be a non-isotrivial semi-stable family of varieties of dimension $m$ over ${\mathbb{P}}^1$ with $s$ singular fibers. Assume that the smooth fibers $F$ ar…