Stability of test ideals of divisors with small multiplicity

Kenta Sato

Let $(X,\Delta )$ be a log pair in characteristic $p>0$ and $P$ be a (not necessarily closed) point of $X$. We show that there exists a constant $\delta >0$ such that $τ(X, Δ)_P= τ(X, Δ+ D)_P…