Birational involutions of the real projective plane
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917430528311296 |
|---|---|
| author | Cheltsov, Ivan Mangolte, Frédéric Yasinsky, Egor Zimmermann, Susanna |
| author_facet | Cheltsov, Ivan Mangolte, Frédéric Yasinsky, Egor Zimmermann, Susanna |
| contents | We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Castelnuovo, F. Enriques, L. Bayle and A. Beauville), which includes 4 different classes of involutions, we discover 12 different classes over the reals, and provide many examples when the fixed curve of an involution does not determine its conjugacy class in the real plane Cremona group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00217 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Birational involutions of the real projective plane Cheltsov, Ivan Mangolte, Frédéric Yasinsky, Egor Zimmermann, Susanna Algebraic Geometry 14E07, 14E05, 14E30, 14J45, 14P99 We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Castelnuovo, F. Enriques, L. Bayle and A. Beauville), which includes 4 different classes of involutions, we discover 12 different classes over the reals, and provide many examples when the fixed curve of an involution does not determine its conjugacy class in the real plane Cremona group. |
| title | Birational involutions of the real projective plane |
| topic | Algebraic Geometry 14E07, 14E05, 14E30, 14J45, 14P99 |
| url | https://arxiv.org/abs/2208.00217 |