The Rigid Pham-Brieskorn Threefolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917890284847104 |
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| author | Chitayat, Michael Dubouloz, Adrien |
| author_facet | Chitayat, Michael Dubouloz, Adrien |
| contents | We show that a $3$-dimensional Pham-Brieskorn hypersurface $\{ X_0^{a_0} + X_1^{a_1} + X_2^{a_2} + X_3^{a_3}=0\}$ in $\mathbb{A}^4$ such that $\min\{a_0, a_1, a_2, a_3 \} \geq 2$ and at most one element $i$ of $\{0,1,2,3\}$ satisfies $a_i = 2$ does not admit a non-trivial action of the additive group $\mathbb{G}_a$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07587 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Rigid Pham-Brieskorn Threefolds Chitayat, Michael Dubouloz, Adrien Algebraic Geometry Commutative Algebra 14L30 We show that a $3$-dimensional Pham-Brieskorn hypersurface $\{ X_0^{a_0} + X_1^{a_1} + X_2^{a_2} + X_3^{a_3}=0\}$ in $\mathbb{A}^4$ such that $\min\{a_0, a_1, a_2, a_3 \} \geq 2$ and at most one element $i$ of $\{0,1,2,3\}$ satisfies $a_i = 2$ does not admit a non-trivial action of the additive group $\mathbb{G}_a$. |
| title | The Rigid Pham-Brieskorn Threefolds |
| topic | Algebraic Geometry Commutative Algebra 14L30 |
| url | https://arxiv.org/abs/2312.07587 |