Fedder type criteria for quasi-$F$-splitting II

Abstract

In this paper, we apply Fedder-type criteria for quasi-$F$-splitting to provide explicit computations of quasi-$F$-split heights for Calabi-Yau hypersurfaces, bielliptic surfaces, Fano varieties, and rational double points. We also find interesting phenomena concerned with inversion of adjunction, fiber products, Fano varieties, and general fibers of fibrations.

42 pages. This is the second part of the paper "Fedder type criterion for quasi-$F$-splitting I" which was split off the original article "Fedder type criterion for quasi-$F$-splitting" and then revised. arXiv admin note: substantial text overlap with arXiv:2204.10076