Let $\mathbb{B}(L):=\bigcap_{m \in \mathbb{N}} Bs(|mL|)$ be the stable locus of Cartier divisor. I have read the paper "Restricted volumes and base loci of linear sistems" in which it's proved that the base locus doesn't contain isolated points, but at the end there's a remark that states that it's possible to prove it using the machinery of multiplier ideals. Someone can tell me how it works? Or suggest me a refererence? thank you schumacher