Classification of Fano fourfolds with large anticanonical base locus
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915573861974016 |
|---|---|
| author | Höring, Andreas Secci, Saverio Andrea |
| author_facet | Höring, Andreas Secci, Saverio Andrea |
| contents | We give a classification of smooth Fano fourfolds such that the base scheme of the anticanonical system is a smooth surface. As a consequence we show that there are exactly 22 deformation families of such manifolds and they are all obtained by the same geometric construction. These 22 families are closely related to the list of smooth Fano threefolds that admit a $\mathbb P^1$-bundle structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of Fano fourfolds with large anticanonical base locus Höring, Andreas Secci, Saverio Andrea Algebraic Geometry 14J45, 14J35, 14E30, 14J17 We give a classification of smooth Fano fourfolds such that the base scheme of the anticanonical system is a smooth surface. As a consequence we show that there are exactly 22 deformation families of such manifolds and they are all obtained by the same geometric construction. These 22 families are closely related to the list of smooth Fano threefolds that admit a $\mathbb P^1$-bundle structure. |
| title | Classification of Fano fourfolds with large anticanonical base locus |
| topic | Algebraic Geometry 14J45, 14J35, 14E30, 14J17 |
| url | https://arxiv.org/abs/2510.21216 |