On the Witt liftability of quasi-F-split Calabi--Yau varieties

Source abstract

We prove that a quasi-$F$-split strict Calabi--Yau variety $X$ of dimension $d$ over an algebraically closed field $k$ of odd characteristic $p$ admits a smooth projective lifting over $W(k)$ if $p\geq d-1$, or if $p=d-2$ and $H^0(X,T_X)=0$. We also prove $W_3(k)$-liftability in odd characteristic.