Non-existence of negative derivations on the higher Nash blowup local algebra
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908495578660864 |
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| author | Badilla-Céspedes, Wágner Castorena, Abel Duarte, Daniel Núñez-Betancourt, Luis |
| author_facet | Badilla-Céspedes, Wágner Castorena, Abel Duarte, Daniel Núñez-Betancourt, Luis |
| contents | Let $f\in\mathbb{C}[x_1,\ldots,x_s]$ be a weighted homogeneous polynomial having an isolated singularity and $\mathcal{T}_n(f)$ be its higher Nash blowup local algebra. We show that $\mathcal{T}_n(f)$ does not admit negative weighted derivations for $n\geq2$. This answers affirmatively a conjecture of Hussain-Ma-Yau-Zuo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-existence of negative derivations on the higher Nash blowup local algebra Badilla-Céspedes, Wágner Castorena, Abel Duarte, Daniel Núñez-Betancourt, Luis Algebraic Geometry Commutative Algebra Let $f\in\mathbb{C}[x_1,\ldots,x_s]$ be a weighted homogeneous polynomial having an isolated singularity and $\mathcal{T}_n(f)$ be its higher Nash blowup local algebra. We show that $\mathcal{T}_n(f)$ does not admit negative weighted derivations for $n\geq2$. This answers affirmatively a conjecture of Hussain-Ma-Yau-Zuo. |
| title | Non-existence of negative derivations on the higher Nash blowup local algebra |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2508.14353 |