Complements of caustics of the real $J_{10}$ singularities
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914503065600000 |
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| author | Vassiliev, V. A. |
| author_facet | Vassiliev, V. A. |
| contents | The complete list of connected components of the set of Morse functions in the deformations of function singularities of class $J_{10}$ is given. Thus, the isotopy classification of Morse perturbations of parabolic real function singularities is finished. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03883 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complements of caustics of the real $J_{10}$ singularities Vassiliev, V. A. Algebraic Geometry 14P99, 14Q30, 14B07 The complete list of connected components of the set of Morse functions in the deformations of function singularities of class $J_{10}$ is given. Thus, the isotopy classification of Morse perturbations of parabolic real function singularities is finished. |
| title | Complements of caustics of the real $J_{10}$ singularities |
| topic | Algebraic Geometry 14P99, 14Q30, 14B07 |
| url | https://arxiv.org/abs/2510.03883 |