On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2
Algebraic Geometry
2026-02-26 v2
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.
Keywords
Cite
@article{arxiv.2512.18243,
title = {On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2},
author = {Keng-Hung Steven Lin},
journal= {arXiv preprint arXiv:2512.18243},
year = {2026}
}
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21 pages