F-pure thresholds of binomial hypersurfaces
Daniel J. Hern\'andez
TL;DR
This paper derives a formula for the F-pure threshold of binomial hypersurfaces over fields of prime characteristic, using estimates related to the splitting polytope, applicable across all characteristics.
Contribution
It introduces a new formula for F-pure thresholds of binomial hypersurfaces based on the splitting polytope, extending previous estimates.
Findings
Formula for F-pure threshold in terms of splitting polytope
Applicable to any prime characteristic
Based on recent estimates from preprint [Her11b]
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation