Classification of smooth Fano varieties with large pseudoindex
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911951626436608 |
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| author | Watanabe, Kiwamu |
| author_facet | Watanabe, Kiwamu |
| contents | Let $X$ be a complex smooth Fano variety of dimension at least four. In this paper, we classify such $X$ when the pseudoindex is at least $n-2$ and the Picard number greater than one. We also discuss the relations between pseudoindex and other invariants of Fano varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14283 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of smooth Fano varieties with large pseudoindex Watanabe, Kiwamu Algebraic Geometry Complex Variables Differential Geometry 14J40, 14J45 Let $X$ be a complex smooth Fano variety of dimension at least four. In this paper, we classify such $X$ when the pseudoindex is at least $n-2$ and the Picard number greater than one. We also discuss the relations between pseudoindex and other invariants of Fano varieties. |
| title | Classification of smooth Fano varieties with large pseudoindex |
| topic | Algebraic Geometry Complex Variables Differential Geometry 14J40, 14J45 |
| url | https://arxiv.org/abs/2402.14283 |