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arXiv · 2512.18243

On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2

Keng-Hung Steven Lin
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Abstract

We study Nash valuations on 3-fold terminal singularities, especially in type cAx/2. We find that, in type cAx/2, exceptional prime divisors computing the minimal discrepancy (which is 1/2 in this case) induce Nash valuations. We conjecture this in general for all 3-fold terminal singularities, and provide some evidence in the Gorenstein case.

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Keng-Hung Steven Lin. 2025-12-20. On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2. https://arxiv.org/abs/2512.18243

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