A new counterexample to Nguyen's conjecture on surface fibration

Wenyi Cai, Yuanyuan Qian, Hao Xiao +1

Suppose $f:S\to {\mathbb{P}}^1$ is a surface fibration of genus $g$ with $3$ singular fibers. If two of the singular fibers are semistable, Nguyen conjectured that $f$ does no…