Quasi-$F^{\infty }$-split height versus quasi-$F$-regular height for rational double points and graded rings

Teppei Takamatsu, Shou Yoshikawa

In this paper, we study a phenomenon concerning quasi-$F$-singularities: under suitable hypotheses, the finiteness of the quasi-$F^{\infty }$-split height (${\mathrm{ht}}^{\infty }$) i…