Algebraic Gromov's ellipticity of cubic hypersurfaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917904429088768 |
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| author | Kaliman, Shulim Zaidenberg, Mikhail |
| author_facet | Kaliman, Shulim Zaidenberg, Mikhail |
| contents | We show that every smooth cubic hypersurface X in P^{n+1}, n> 1 is algebraically elliptic in Gromov's sense. This gives the first examples of non-rational projective manifolds elliptic in Gromov's sense. We also deduce that the punctured affine cone over X is elliptic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04462 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic Gromov's ellipticity of cubic hypersurfaces Kaliman, Shulim Zaidenberg, Mikhail Algebraic Geometry 14J30, 14J70, 14M20, Secondary 14N25, 32Q56 We show that every smooth cubic hypersurface X in P^{n+1}, n> 1 is algebraically elliptic in Gromov's sense. This gives the first examples of non-rational projective manifolds elliptic in Gromov's sense. We also deduce that the punctured affine cone over X is elliptic. |
| title | Algebraic Gromov's ellipticity of cubic hypersurfaces |
| topic | Algebraic Geometry 14J30, 14J70, 14M20, Secondary 14N25, 32Q56 |
| url | https://arxiv.org/abs/2402.04462 |