On special Lagrangian fibrations in generic twistor families of K3 surfaces

Filip showed that there are constants $C>0$ and $\delta >0$ such that the number of special Lagrangian fibrations of volume $\le V$ in a generic twistor family of K3 surfaces is $C\cdot V^{20}+O(V^{20-\delta })$. In this note, we show that $\delta$ can be taken to be any number $0<\delta <\frac{4}{697633}$.