Cylinders in Fano threefolds of genus 9 and 10
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866910271767838720 |
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| author | Virin, Nikita |
| author_facet | Virin, Nikita |
| contents | We prove that any Fano threefold of genus 9 and 10 contains a cylinder, i.e. an open subset isomorphic to the product of a quasiprojective variety and the affine line. Moreover, we show that any Fano threefold of genus 10 has a point such that the Hilbert scheme of lines through the point has length three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30875 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cylinders in Fano threefolds of genus 9 and 10 Virin, Nikita Algebraic Geometry 14J45 We prove that any Fano threefold of genus 9 and 10 contains a cylinder, i.e. an open subset isomorphic to the product of a quasiprojective variety and the affine line. Moreover, we show that any Fano threefold of genus 10 has a point such that the Hilbert scheme of lines through the point has length three. |
| title | Cylinders in Fano threefolds of genus 9 and 10 |
| topic | Algebraic Geometry 14J45 |
| url | https://arxiv.org/abs/2605.30875 |