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Oct 28, 2019 at 12:44 answer added Li Yutong timeline score: 2
Oct 17, 2019 at 1:05 comment added Li Yutong $D$ is numerically trivial over $X$ means that for any curve $C$ on $Y$ such that $f_*C=0$, then $D \cdot C =0$.
Oct 15, 2019 at 20:47 comment added Evgeny Shinder By the way what does `numerically trivial over $X$' mean?
Oct 15, 2019 at 20:43 comment added Evgeny Shinder This $D_X$ must satisfy $f_*(D) = D_X$, and I think the main part is to show that $D_X$ is a Cartier divisor. Informally, at least when $X$ has isolated rational singularities and $f$ is a resolution, this would follow from identification between restriction of a divisor $D_X$ to the completion of the singular points of $X$ and restriction of $D$ to the neigbourhood of the exceptional set of $f$.
Oct 14, 2019 at 12:49 history asked Li Yutong CC BY-SA 4.0