Comparing multiplier ideals to test ideals on numerically Q-Gorenstein varieties

angga septadikna iswahyudi;

We show that the reduction to positive characteristic of the multiplier ideal in the sense of de Fernex and Hacon agrees with the test ideal for infinitely many primes, assuming that the variety is numerically Q-Gorenstein. It follows, in particular, that this reduction property holds
in dimension 2 for all normal surfaces.