The F-pure threshold of a Calabi-Yau hypersurface

Abstract

The F-pure threshold is a positive characteristic numerical invariant, analogous to the log canonical threshold in characteristic zero. We compute the F-pure threshold of the affine cone over a Calabi-Yau hypersurface, and relate it to the order of vanishing of the Hasse invariant on the versal deformation space of the hypersurface.

References in corpus (2)

• Test ideals of non-principal ideals: Computations, Jumping Numbers, Alterations and Division Theorems
• F-pure thresholds of binomial hypersurfaces

Cited by in corpus (4)

• An Elementary Computation of the $F$-Pure Threshold of an Elliptic Curve
• F-pure thresholds of homogeneous polynomials
• A note on injectivity of Frobenius on local cohomology of global complete intersections
• The $F$-pure threshold of a determinantal ideal