The moduli space of genus $8$ Fano $3$-folds with two $\frac{1}{2}(1,1,1)$-points is rational
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913477729189888 |
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| author | Massarenti, Alex Zucconi, Francesco |
| author_facet | Massarenti, Alex Zucconi, Francesco |
| contents | Let $\mathcal{F}_{8,2\times \frac{1}{2}(1,1,1)}$ be the moduli space of genus $8$ Fano $3$-folds with two singular points of type $\frac{1}{2}(1,1,1)$. We show that $\mathcal{F}_{8,2\times \frac{1}{2}(1,1,1)}$ is a rational variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13080 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The moduli space of genus $8$ Fano $3$-folds with two $\frac{1}{2}(1,1,1)$-points is rational Massarenti, Alex Zucconi, Francesco Algebraic Geometry Primary 14J45, Secondary 14N05, 14H42 Let $\mathcal{F}_{8,2\times \frac{1}{2}(1,1,1)}$ be the moduli space of genus $8$ Fano $3$-folds with two singular points of type $\frac{1}{2}(1,1,1)$. We show that $\mathcal{F}_{8,2\times \frac{1}{2}(1,1,1)}$ is a rational variety. |
| title | The moduli space of genus $8$ Fano $3$-folds with two $\frac{1}{2}(1,1,1)$-points is rational |
| topic | Algebraic Geometry Primary 14J45, Secondary 14N05, 14H42 |
| url | https://arxiv.org/abs/2408.13080 |