# Quasi-F-splittings in birational geometry II

## TL;DR

This paper proves that three-dimensional $Q$-factorial affine klt varieties are quasi-$F$-split over algebraically closed fields of characteristic greater than 41, establishing the optimality of this characteristic bound.

## Contribution

It demonstrates the quasi-$F$-split property for three-dimensional $Q$-factorial affine klt varieties in characteristic $p>41$ and proves that this characteristic bound is sharp.

## Key findings

- Quasi-$F$-splitness holds for the specified varieties in characteristic $p>41$.
- The characteristic bound of 41 is proven to be optimal.
- The result advances understanding of singularities in positive characteristic.

## Abstract

Over an algebraically closed field of characteristic $p>41$, we prove that three-dimensional $\mathbb Q$-factorial affine klt varieties are quasi-$F$-split. Furthermore, we show that the bound on the characteristic is optimal.