Klt degenerations of projective spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913434910588928 |
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| author | Höring, Andreas Peternell, Thomas |
| author_facet | Höring, Andreas Peternell, Thomas |
| contents | We study degenerations of complex projective spaces $\mathbb P^n$ into normal projective klt varieties $X$. If the tangent sheaf of $X$ is semi-stable, we show that $X$ itself is a projective space. If $X$ is a threefold with canonical singularities, we show that there are only three varieties which satisfy all the conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05250 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Klt degenerations of projective spaces Höring, Andreas Peternell, Thomas Algebraic Geometry 14D06, 14J45, 14E05, 14E30 We study degenerations of complex projective spaces $\mathbb P^n$ into normal projective klt varieties $X$. If the tangent sheaf of $X$ is semi-stable, we show that $X$ itself is a projective space. If $X$ is a threefold with canonical singularities, we show that there are only three varieties which satisfy all the conditions. |
| title | Klt degenerations of projective spaces |
| topic | Algebraic Geometry 14D06, 14J45, 14E05, 14E30 |
| url | https://arxiv.org/abs/2403.05250 |