Complements of discriminants of real singularities of type $X_{10}$
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908995966468096 |
|---|---|
| author | Vassiliev, Victor A. |
| author_facet | Vassiliev, Victor A. |
| contents | A conjecturally complete list of connected components of complements of discriminant varieties (aka wave fronts) of smooth function singularities of type $X_{10}^3$ and $X_{10}^1$ is presented; it are the first examples of not semi-quasihomogeneous plane function singularities. It is shown that the complements of discriminants of singularities of classes $X_9^{\pm}$ and $X_{10}^1$ have non-trivial 1-dimensional homology groups, in contrast to all simple singularity classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_06994 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Complements of discriminants of real singularities of type $X_{10}$ Vassiliev, Victor A. Algebraic Geometry 14Q30 A conjecturally complete list of connected components of complements of discriminant varieties (aka wave fronts) of smooth function singularities of type $X_{10}^3$ and $X_{10}^1$ is presented; it are the first examples of not semi-quasihomogeneous plane function singularities. It is shown that the complements of discriminants of singularities of classes $X_9^{\pm}$ and $X_{10}^1$ have non-trivial 1-dimensional homology groups, in contrast to all simple singularity classes. |
| title | Complements of discriminants of real singularities of type $X_{10}$ |
| topic | Algebraic Geometry 14Q30 |
| url | https://arxiv.org/abs/2301.06994 |