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arXiv · 2407.09978

$F$-pure threshold for the symmetric determinantal ring

Justin Fong
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Abstract

We give a value for the $F$-pure threshold at the maximal homogeneous ideal $\mathfrak{m}$ of the symmetric determinantal ring over a field of prime characteristic. The answer is characteristic independent, so we immediately get the log canonical threshold in characteristic zero as well.

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Justin Fong. 2025-08-23. $F$-pure threshold for the symmetric determinantal ring. https://arxiv.org/abs/2407.09978

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