A note on the Nielsen realization problem for Enriques manifolds
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917384366850048 |
|---|---|
| author | Billi, Simone |
| author_facet | Billi, Simone |
| contents | We give a numerical criterion for the Nielsen realization problem for Enriques manifolds, based on the recent developments on the Birman-Hilden theory for hyper-Kähler manifolds and on Nielsen realization for hyper-Kähler manifolds. We apply the criterion to known examples of Enriques manifolds to get explicit groups that can be realized or not realized, and comment on questions related to the Nielsen realization problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the Nielsen realization problem for Enriques manifolds Billi, Simone Algebraic Geometry Geometric Topology 14J42, 53C26, 32Q20 We give a numerical criterion for the Nielsen realization problem for Enriques manifolds, based on the recent developments on the Birman-Hilden theory for hyper-Kähler manifolds and on Nielsen realization for hyper-Kähler manifolds. We apply the criterion to known examples of Enriques manifolds to get explicit groups that can be realized or not realized, and comment on questions related to the Nielsen realization problem. |
| title | A note on the Nielsen realization problem for Enriques manifolds |
| topic | Algebraic Geometry Geometric Topology 14J42, 53C26, 32Q20 |
| url | https://arxiv.org/abs/2508.02893 |