Smooth Fano varieties with pseudoindex equal to half of their dimension
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866918164335427584 |
|---|---|
| author | Watanabe, Kiwamu |
| author_facet | Watanabe, Kiwamu |
| contents | Let $X$ be a complex smooth Fano variety of dimension $n$. Assume that $X$ admits a birational contraction of an extremal ray. In this paper, we give a classification of such $X$ when the pseudoindex is equal to $\frac{\dim X}{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Smooth Fano varieties with pseudoindex equal to half of their dimension Watanabe, Kiwamu Algebraic Geometry Complex Variables Differential Geometry 14J40, 14J45, 14E30 Let $X$ be a complex smooth Fano variety of dimension $n$. Assume that $X$ admits a birational contraction of an extremal ray. In this paper, we give a classification of such $X$ when the pseudoindex is equal to $\frac{\dim X}{2}$. |
| title | Smooth Fano varieties with pseudoindex equal to half of their dimension |
| topic | Algebraic Geometry Complex Variables Differential Geometry 14J40, 14J45, 14E30 |
| url | https://arxiv.org/abs/2411.00379 |