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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.00171 |
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| _version_ | 1866912517606866944 |
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| author | Borovik, Viktoriia Chernov, Alexander Shafarevich, Anton |
| author_facet | Borovik, Viktoriia Chernov, Alexander Shafarevich, Anton |
| contents | An induced additive action on a projective variety $X \subseteq \mathbb{P}^n$ is a regular action of the group $\mathbb{G}_a^m$ on $X$ with an open orbit, which can be extended to a regular action on the ambient projective space $\mathbb{P}^n$. In this work, we classify all projective hypersurfaces admitting an induced additive action with a finite number of orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_00171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Additive actions on projective hypersurfaces with a finite number of orbits Borovik, Viktoriia Chernov, Alexander Shafarevich, Anton Algebraic Geometry An induced additive action on a projective variety $X \subseteq \mathbb{P}^n$ is a regular action of the group $\mathbb{G}_a^m$ on $X$ with an open orbit, which can be extended to a regular action on the ambient projective space $\mathbb{P}^n$. In this work, we classify all projective hypersurfaces admitting an induced additive action with a finite number of orbits. |
| title | Additive actions on projective hypersurfaces with a finite number of orbits |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.00171 |