F-pure thresholds of binomial hypersurfaces

Mathematics – Commutative Algebra

Scientific paper

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12 pages, 4 figures. Comments welcome!

Scientific paper

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.

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