On the analytic structure of double and triple points in the target of finite holomorphic multi-germs
| Autor: | Nuño-Ballesteros, Juan J., Sanchis, Guillermo Peñafort, Villa, Cinzia |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 16 pages |
| Databáze: | arXiv |
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