On the connectedness of the automorphism group of an affine toric variety
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913752714051584 |
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| author | Kikteva, Veronika |
| author_facet | Kikteva, Veronika |
| contents | We obtain a criterion for the automorphism group of an affine toric variety to be connected in combinatorial terms and in terms of the divisor class group of the variety. The component group of the automorphism group of a non-degenerate affine toric variety is described. In particular, we show that the number of connected components of the automorphism group is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10349 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the connectedness of the automorphism group of an affine toric variety Kikteva, Veronika Algebraic Geometry 14J50, 14M25 (Primary) 14L30, 14R20 (Secondary) We obtain a criterion for the automorphism group of an affine toric variety to be connected in combinatorial terms and in terms of the divisor class group of the variety. The component group of the automorphism group of a non-degenerate affine toric variety is described. In particular, we show that the number of connected components of the automorphism group is finite. |
| title | On the connectedness of the automorphism group of an affine toric variety |
| topic | Algebraic Geometry 14J50, 14M25 (Primary) 14L30, 14R20 (Secondary) |
| url | https://arxiv.org/abs/2409.10349 |