Singularities of pluri-theta divisors in Char $p>0$

We show that if $(X,\mathrm{\Theta })$ is a PPAV over an algebraically closed field of characteristic $p>0$ and $D\in \mathrm{\mid }m\mathrm{\Theta }\mathrm{\mid }$, then $(X,\frac{1}{m}D)$ is a limit of strongly $F$-regular pairs and in particular ${\rm mult}_x(D)\leq m\cdot \dim X$forany$x\in X$.