Local linear Morsifications
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909334898737152 |
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| author | Tibăr, Mihai |
| author_facet | Tibăr, Mihai |
| contents | The number of Morse points in a Morsification determines the topology of the Milnor fibre of a holomorphic function germ $f$ with isolated singularity. If $f$ has an arbitrary singular locus, then this nice relation to the Milnor fibre disappears. We show that despite this loss, the numbers of stratified Morse singularities of a general linear Morsification are effectively computable in terms of topological invariants of $f$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04773 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local linear Morsifications Tibăr, Mihai Algebraic Geometry Complex Variables 14N10, 14C17, 32S30, 55R55, 58K05 The number of Morse points in a Morsification determines the topology of the Milnor fibre of a holomorphic function germ $f$ with isolated singularity. If $f$ has an arbitrary singular locus, then this nice relation to the Milnor fibre disappears. We show that despite this loss, the numbers of stratified Morse singularities of a general linear Morsification are effectively computable in terms of topological invariants of $f$. |
| title | Local linear Morsifications |
| topic | Algebraic Geometry Complex Variables 14N10, 14C17, 32S30, 55R55, 58K05 |
| url | https://arxiv.org/abs/2307.04773 |