On Picard Number and Dimension of Algebraic Homogeneous Spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914411900305408 |
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| author | Beldiev, Ivan Timashev, Dmitry |
| author_facet | Beldiev, Ivan Timashev, Dmitry |
| contents | An algebraic variety $X$ is called a homogeneous space if there exists a transitive regular action of an algebraic group on $X$. We prove inequalities between the dimension of a homogeneous space of a linear algebraic group and its Picard number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07044 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Picard Number and Dimension of Algebraic Homogeneous Spaces Beldiev, Ivan Timashev, Dmitry Algebraic Geometry Primary 14L30, 17B20, Secondary 20G07 An algebraic variety $X$ is called a homogeneous space if there exists a transitive regular action of an algebraic group on $X$. We prove inequalities between the dimension of a homogeneous space of a linear algebraic group and its Picard number. |
| title | On Picard Number and Dimension of Algebraic Homogeneous Spaces |
| topic | Algebraic Geometry Primary 14L30, 17B20, Secondary 20G07 |
| url | https://arxiv.org/abs/2412.07044 |