On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910032359063552 |
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| author | Lin, Keng-Hung Steven |
| author_facet | Lin, Keng-Hung Steven |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18243 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2 Lin, Keng-Hung Steven Algebraic Geometry 14E18 (Primary) 14E15, 14E30 (Secondary) 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. |
| title | On the Nash Problem over 3-Fold Terminal Singularities of Type cAx/2 |
| topic | Algebraic Geometry 14E18 (Primary) 14E15, 14E30 (Secondary) |
| url | https://arxiv.org/abs/2512.18243 |