A Sharp inequality between local volumes and minimal log discrepancies

Jingjun Han

We answer a question of Li--Liu--Xu: every $n$-dimensional klt germ $x\in (X,\Delta )$, where $n\ge 2$, satisfies the sharp inequality \[ \widehat{\operatorname{vol}}(x,X,Δ)\le n^{n-1}\ope…