Real forms of minimal SL$_2$-threefolds
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910382533115904 |
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| author | Moulin, Lucas |
| author_facet | Moulin, Lucas |
| contents | We complete the classification of the real forms of almost homogeneous SL$_2$-threefolds. More precisely, we use the Luna-Vust theory to determine the real forms of minimal smooth complete SL$_2$-varieties containing an orbit isomorphic to SL$_2/H$, where $H$ is a finite cyclic subgroup of SL$_2$. Moreover, we study the rationality and the set of real points of those varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13738 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Real forms of minimal SL$_2$-threefolds Moulin, Lucas Algebraic Geometry We complete the classification of the real forms of almost homogeneous SL$_2$-threefolds. More precisely, we use the Luna-Vust theory to determine the real forms of minimal smooth complete SL$_2$-varieties containing an orbit isomorphic to SL$_2/H$, where $H$ is a finite cyclic subgroup of SL$_2$. Moreover, we study the rationality and the set of real points of those varieties. |
| title | Real forms of minimal SL$_2$-threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2312.13738 |