Combinatorial study of morsifications of real univariate singularities
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866909456098394112 |
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| author | Bodin, Arnaud Barroso, Evelia Rosa García Popescu-Pampu, Patrick Sorea, Miruna-Stefana |
| author_facet | Bodin, Arnaud Barroso, Evelia Rosa García Popescu-Pampu, Patrick Sorea, Miruna-Stefana |
| contents | We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contact trees constructed from Newton-Puiseux roots of the polar curves of the morsifications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04601 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Combinatorial study of morsifications of real univariate singularities Bodin, Arnaud Barroso, Evelia Rosa García Popescu-Pampu, Patrick Sorea, Miruna-Stefana Algebraic Geometry Combinatorics 26C05, 05E14, 58K05, 14P25, We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions, via planar contact trees constructed from Newton-Puiseux roots of the polar curves of the morsifications. |
| title | Combinatorial study of morsifications of real univariate singularities |
| topic | Algebraic Geometry Combinatorics 26C05, 05E14, 58K05, 14P25, |
| url | https://arxiv.org/abs/2306.04601 |