2 problems

Let $f:X\to\mathbb{S}^2$ be a relatively minimal genus-$g$ Lefschetz fibration, where $g\geq 2$, and let its slope be … Here $K_f^2(X)=c_1^2(X)+8(g-1)$ and…

Let $f:X\rightarrow C$ be a relatively minimal, non-isotrivial fibration of genus $g\geq 2$, with slope … The lower slope inequality is $\lambda_f\geq 4(g-1)/g$. Xiao's lower slope…