In the paper, by Ja'nos Kolla'r János Kollár there is problem 19 (page 8). It is one more strict resolution. A resolution that leaves untouched the semi-simple-normal-crossings singularities of pairs.
My question is: How/where is that kind of resolution used/needed?
Quick definitions:
Pair: $(X,D)$ with $X$ algebraic variety and $D$ a Weil divisor on it.
Semi-simple-normal-crossings: A point in $X$ where $X$ is (locally) a union of coordinates hyperplanes and $D$ is given by intersecting $X$ with some of the other coordinate hyperplanes not contained in $X$.
