Radiant toric varieties and unipotent group actions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913310712004608 |
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| author | Arzhantsev, Ivan Perepechko, Alexander Shakhmatov, Kirill |
| author_facet | Arzhantsev, Ivan Perepechko, Alexander Shakhmatov, Kirill |
| contents | We consider complete toric varieties $X$ such that a maximal unipotent subgroup $U$ of the automorphism group $\text{Aut}(X)$ acts on $X$ with an open orbit. It turns out that such varieties can be characterized by several remarkable properties. We study the set of Demazure roots of the corresponding complete fan, describe the structure of a maximal unipotent subgroup $U$ in $\text{Aut}(X)$, and find all regular subgroups in $U$ that act on $X$ with an open orbit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_04021 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Radiant toric varieties and unipotent group actions Arzhantsev, Ivan Perepechko, Alexander Shakhmatov, Kirill Algebraic Geometry Primary 14J50, 14M25, Secondary 14M17, 20G07, 32M12 We consider complete toric varieties $X$ such that a maximal unipotent subgroup $U$ of the automorphism group $\text{Aut}(X)$ acts on $X$ with an open orbit. It turns out that such varieties can be characterized by several remarkable properties. We study the set of Demazure roots of the corresponding complete fan, describe the structure of a maximal unipotent subgroup $U$ in $\text{Aut}(X)$, and find all regular subgroups in $U$ that act on $X$ with an open orbit. |
| title | Radiant toric varieties and unipotent group actions |
| topic | Algebraic Geometry Primary 14J50, 14M25, Secondary 14M17, 20G07, 32M12 |
| url | https://arxiv.org/abs/2209.04021 |