F-pure thresholds of binomial hypersurfaces

Abstract

In this note, we use estimates given in the recent preprint [Her11b]to deduce a formula for the F-pure threshold of a binomial hypersurface over a field of prime characteristic. These formulas are given in terms of the associated splitting polytope, and remain valid over any characteristic.

12 pages, 4 figures. Comments welcome!

References in corpus (2)

• F-thresholds and Bernstein-Sato polynomials
• F-purity versus log canonicity for polynomials

Cited by in corpus (4)

• Frobenius Splitting in Commutative Algebra
• The F-pure threshold of a Calabi-Yau hypersurface
• F-purity of hypersurfaces
• The $F$-pure threshold of a determinantal ideal