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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 $X$.

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In the paper, by Jano's Ja'nos Kolla'r 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 $X$.

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