An Automorphism group of a rational surface: Not too big not too small
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909077508980736 |
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| author | Kim, Kyounghee |
| author_facet | Kim, Kyounghee |
| contents | This article concerns the realization problem of subgroups of Coxeter groups. We construct a subgroup $G$ of the Coxeter group $W_{15}$ such that $G$ is realized as automorphism groups of a rational surface $X$ and $G \cong Aut(X)^* \cong D_3 \times \mathbb{Z}$. We also show that there is an element $ω$ in $W_{14}$ is not realizable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_12354 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | An Automorphism group of a rational surface: Not too big not too small Kim, Kyounghee Algebraic Geometry Dynamical Systems This article concerns the realization problem of subgroups of Coxeter groups. We construct a subgroup $G$ of the Coxeter group $W_{15}$ such that $G$ is realized as automorphism groups of a rational surface $X$ and $G \cong Aut(X)^* \cong D_3 \times \mathbb{Z}$. We also show that there is an element $ω$ in $W_{14}$ is not realizable. |
| title | An Automorphism group of a rational surface: Not too big not too small |
| topic | Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2202.12354 |