 $\zeta$.  \[lem-def0b\] Suppose that $h:B'\rightarrow B$ is type (IIb). Then we have exact sequences: $$\begin{aligned} 0 \rightarrow H^0(E,T_E(-D)) \rightarrow \mathbb{H}^0(B',L_{(f',i')}^\vee) \rightarrow \mathbb{H}^0(B,L_{(f,i)}^\vee) \rightarrow 0 \\ 0 \rightarrow H^0(E,T_E(E)) \rightarrow \mathbb{H}^0(B',L_{(f',i')}^\vee) \rightarrow \mathbb{H}^0(B,L_{(f,i)}^\vee) \rightarrow 0 \\ 0 \rightarrow 