A note on 1-parameter stable unfoldings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929541018025984 |
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| author | Ribes, Ignacio Breva Sinha, Raúl Oset |
| author_facet | Ribes, Ignacio Breva Sinha, Raúl Oset |
| contents | We give two characterisations of when a map-germ admits a 1-parameter stable unfolding, one related to the $\mathscr K_e$-codimension and another related to the normal form of a versal unfolding. We then prove that there are infinitely many finitely determined map-germs of multiplicity 4 from $\mathbb K^3$ to $\mathbb K^3$ which do not admit a 1-parameter stable unfolding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on 1-parameter stable unfoldings Ribes, Ignacio Breva Sinha, Raúl Oset Algebraic Geometry We give two characterisations of when a map-germ admits a 1-parameter stable unfolding, one related to the $\mathscr K_e$-codimension and another related to the normal form of a versal unfolding. We then prove that there are infinitely many finitely determined map-germs of multiplicity 4 from $\mathbb K^3$ to $\mathbb K^3$ which do not admit a 1-parameter stable unfolding. |
| title | A note on 1-parameter stable unfoldings |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2410.10321 |