On F-pure thresholds and quasi-F-purity of hypersurfaces

Abstract

We show that quasi-F-pure but not F-pure isolated quasi-homogeneous hypersurface singularities necessarily have F-pure threshold 1 - 1p. This extends work of Bhatt and Singh beyond the Calabi-Yau case. We also classify the (quasi)-F-purity of Fermat hypersurfaces.

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