On the Structure of Second Jacobian Ideals
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915213517783040 |
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| author | Ye, Fei |
| author_facet | Ye, Fei |
| contents | We show that the second Jacobian ideal of a hypersurface can be decomposed such that a power of the Jacobian ideal becomes a factor. As an application of the decomposition, we present an elementary proof establishing that the second Nash blow-up algebra of a hypersurface singularity is a contact invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15097 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Structure of Second Jacobian Ideals Ye, Fei Algebraic Geometry 14B05, 14E15, 14J17, 32S05, 32S25 We show that the second Jacobian ideal of a hypersurface can be decomposed such that a power of the Jacobian ideal becomes a factor. As an application of the decomposition, we present an elementary proof establishing that the second Nash blow-up algebra of a hypersurface singularity is a contact invariant. |
| title | On the Structure of Second Jacobian Ideals |
| topic | Algebraic Geometry 14B05, 14E15, 14J17, 32S05, 32S25 |
| url | https://arxiv.org/abs/2411.15097 |