Prime Fano $4$-folds with semi-free torus actions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917270529245184 |
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| author | Lindsay, Nicholas |
| author_facet | Lindsay, Nicholas |
| contents | Let $X$ be a smooth complex prime Fano fourfold having a semi-free action of $\mathbb{C}^*$, then $X$ is contained in one of the families $\mathbb{P}^4,Q^4,W_5, X^{m}_{8}$. All of the families contain members that have a semi-free $\mathbb{C}^*$-action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Prime Fano $4$-folds with semi-free torus actions Lindsay, Nicholas Algebraic Geometry Let $X$ be a smooth complex prime Fano fourfold having a semi-free action of $\mathbb{C}^*$, then $X$ is contained in one of the families $\mathbb{P}^4,Q^4,W_5, X^{m}_{8}$. All of the families contain members that have a semi-free $\mathbb{C}^*$-action. |
| title | Prime Fano $4$-folds with semi-free torus actions |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.17230 |