Maximal subgroups in the Cremona group
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911372861767680 |
|---|---|
| author | Fanelli, Andrea Floris, Enrica Zimmermann, Susanna |
| author_facet | Fanelli, Andrea Floris, Enrica Zimmermann, Susanna |
| contents | We show that for any $n\geq5$ there exist connected algebraic subgroups in the Cremona group $\mathrm{Bir}(\mathbb{P}^n)$ that are not contained in any maximal connected algebraic subgroup. Our approach exploits the existence of stably rational, non-rational threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04703 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Maximal subgroups in the Cremona group Fanelli, Andrea Floris, Enrica Zimmermann, Susanna Algebraic Geometry 14E07, 14L30, 20G99 We show that for any $n\geq5$ there exist connected algebraic subgroups in the Cremona group $\mathrm{Bir}(\mathbb{P}^n)$ that are not contained in any maximal connected algebraic subgroup. Our approach exploits the existence of stably rational, non-rational threefolds. |
| title | Maximal subgroups in the Cremona group |
| topic | Algebraic Geometry 14E07, 14L30, 20G99 |
| url | https://arxiv.org/abs/2311.04703 |