On flexibility of affine factorial varieties
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914415438200832 |
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| author | Arzhantsev, Ivan Shakhmatov, Kirill |
| author_facet | Arzhantsev, Ivan Shakhmatov, Kirill |
| contents | We give a criterion of factoriality of a suspension. This allows to construct many examples of flexible affine factorial varieties. In particular, we find a homogeneous affine factorial 3-fold that is not a homogeneous space of an algebraic group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_04831 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On flexibility of affine factorial varieties Arzhantsev, Ivan Shakhmatov, Kirill Algebraic Geometry Commutative Algebra Primary 14M05, 14M17, Secondary 13A05, 13F15, 14R20 We give a criterion of factoriality of a suspension. This allows to construct many examples of flexible affine factorial varieties. In particular, we find a homogeneous affine factorial 3-fold that is not a homogeneous space of an algebraic group. |
| title | On flexibility of affine factorial varieties |
| topic | Algebraic Geometry Commutative Algebra Primary 14M05, 14M17, Secondary 13A05, 13F15, 14R20 |
| url | https://arxiv.org/abs/2508.04831 |