On Gorenstein ${\mathbb{Q}}_p$-rational threefold and fourfold singularities

Jefferson Baudin, Zsolt Patakfalvi, Linus Rösler +1

We prove that for $n\le 4$ and $p>5$, quasi--Gorenstein $F$--pure and ${\mathbb{Q}}_p$--rational $n$--fold singularities are canonical. This is analogous to the usual fact that r…