Fedder-type criterion for quasi-Fe-splitting and quasi-F-regularity
Abstract
We study quasi-Fe-split and quasi-F-regular singularities, which generalize Yobuko's quasi-F-splitting. We establish Fedder type criteria that characterize these properties for hypersurfaces. These criteria offer explicit tools for computation and verification. As an application, we construct a counterexample to the inversion of adjunction for quasi-F-regularity and compute the quasi-F-split threshold of the cone over the ordinary cusp.
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