On the analytic structure of double and triple points in the target of finite holomorphic multi-germs
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911883496259584 |
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| author | Nuño-Ballesteros, Juan J. Sanchis, Guillermo Peñafort Villa, Cinzia |
| author_facet | Nuño-Ballesteros, Juan J. Sanchis, Guillermo Peñafort Villa, Cinzia |
| contents | We study the analytic structure of the double and triple point spaces $M_2(f)$ and $M_3(f)$ of finite multi-germs $f\colon (X,S)\to(\mathbb{C}^{n+1},0)$, based on results of Mond and Pellikaan for the mono-germ case. We show that these spaces are Cohen-Macaulay, provided that certain dimensional conditions are satisfied, and give explicit expressions for their defining ideals in terms of those of their mono-germ branches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the analytic structure of double and triple points in the target of finite holomorphic multi-germs Nuño-Ballesteros, Juan J. Sanchis, Guillermo Peñafort Villa, Cinzia Algebraic Geometry 32S25, 14J17, 58K20, 14B05, 13C14 We study the analytic structure of the double and triple point spaces $M_2(f)$ and $M_3(f)$ of finite multi-germs $f\colon (X,S)\to(\mathbb{C}^{n+1},0)$, based on results of Mond and Pellikaan for the mono-germ case. We show that these spaces are Cohen-Macaulay, provided that certain dimensional conditions are satisfied, and give explicit expressions for their defining ideals in terms of those of their mono-germ branches. |
| title | On the analytic structure of double and triple points in the target of finite holomorphic multi-germs |
| topic | Algebraic Geometry 32S25, 14J17, 58K20, 14B05, 13C14 |
| url | https://arxiv.org/abs/2405.12974 |