Milnor number of an invariant singularity: generalization of Chulkov's inequality
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917198009729024 |
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| author | Proskurnin, Ivan |
| author_facet | Proskurnin, Ivan |
| contents | We prove a lower bound for the Milnor number of function germ invariant with respect to a finite abelian group action. It is shown that this bound is tight for functions of arbitrarily many variables. We also prove the function germs that reach this lower bound are equivariantly stable, i.e. invariant analogues of Morse singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Milnor number of an invariant singularity: generalization of Chulkov's inequality Proskurnin, Ivan Algebraic Geometry We prove a lower bound for the Milnor number of function germ invariant with respect to a finite abelian group action. It is shown that this bound is tight for functions of arbitrarily many variables. We also prove the function germs that reach this lower bound are equivariantly stable, i.e. invariant analogues of Morse singularities. |
| title | Milnor number of an invariant singularity: generalization of Chulkov's inequality |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.17453 |