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arXiv · 1605.03825

Discreteness of $F$-jumping numbers at isolated non-Q-Gorenstein points

Patrick Graf·Karl Schwede
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Abstract

We show that the $F$-jumping numbers of a pair $(X, \mathfrak a)$ in positive characteristic have no limit points whenever the symbolic Rees algebra of $-K_X$ is finitely generated outside an isolated collection of points. We also give a characteristic zero version of this result, as well as a generalization of the Hartshorne-Speiser-Lyubeznik-Gabber stabilization theorem describing the non-$F$-pure locus of a variety.

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Patrick Graf, Karl Schwede. 2016-05-12. Discreteness of $F$-jumping numbers at isolated non-Q-Gorenstein points. https://doi.org/10.1090/proc%2F13739

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