Height functions on singular surfaces parameterized by smooth maps $\mathcal{A}$-equivalent to $S_k$, $B_k$, $C_k$ and $F_4$
| Autor: | Fukui, Toshizumi, Hasegawa, Masaru |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We describe singularities of height functions on singular surfaces in $\mathbb{R}^3$ parameterized by smooth map-germs $\mathcal{A}$-equivalent to one of $S_k$, $B_k$, $C_k$ and $F_4$ singularities in terms of extended geometric language via finite succession of blowing-ups. We investigate singularities of dual surfaces of such singular surfaces. Comment: arXiv admin note: substantial text overlap with arXiv:2408.00231 |
| Databáze: | arXiv |
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