Bekka's $(c)$-regularity condition and families of line singularities with constant Lê numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915658495688704 |
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| author | Eyral, Christophe Turhan, Öznur |
| author_facet | Eyral, Christophe Turhan, Öznur |
| contents | We show that the natural stratifications arising from certain deformation families of line singularities with constant Lê numbers satisfy Bekka's $(c)$-regularity condition. As a corollary, we obtain that these families are topologically equisingular. Similar results for families of isolated singularities were established by Abderrahmane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14545 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bekka's $(c)$-regularity condition and families of line singularities with constant Lê numbers Eyral, Christophe Turhan, Öznur Algebraic Geometry 14B05, 14B07, 32S05, 32S15, 32S25 We show that the natural stratifications arising from certain deformation families of line singularities with constant Lê numbers satisfy Bekka's $(c)$-regularity condition. As a corollary, we obtain that these families are topologically equisingular. Similar results for families of isolated singularities were established by Abderrahmane. |
| title | Bekka's $(c)$-regularity condition and families of line singularities with constant Lê numbers |
| topic | Algebraic Geometry 14B05, 14B07, 32S05, 32S15, 32S25 |
| url | https://arxiv.org/abs/2508.14545 |