On the minimal number of singular fibers in Lefschetz fibrations over the torus

András I. Stipsicz, Ki-Heon Yun

We show that the minimal number of singular fibers $N(g,1)$ in a genus-$g$ Lefschetz fibration over the torus is at least $3$. As an application, we show that $N(g, 1) \in \{ 3, 4\…