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arXiv · 2311.06908

Computing the $F$-pure Threshold of Flag Varieties

Justin Fong
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Abstract

We compute the $F$-pure threshold of the natural cone over flag varieties in characteristic $p>0$. Our calculations are mainly focused on flag varieties that are arithmetically Gorenstein, but we offer some results in the non-Gorenstein case. Our goal is to determine the $a$-invariant of the cone. As a result, the $F$-pure thresholds we find are independent of the characteristic $p$, hence one immediately gets the value of the log canonical threshold of flags in characteristic 0 as well.

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Justin Fong. 2023-11-12. Computing the $F$-pure Threshold of Flag Varieties. https://doi.org/10.1016/j.jalgebra.2025.08.034

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