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arXiv · 2202.12354

An Automorphism group of a rational surface: Not too big not too small

Kyounghee Kim
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Abstract

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 $\omega$ in $W_{14}$ is not realizable.

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Kyounghee Kim. 2022-02-24. An Automorphism group of a rational surface: Not too big not too small. https://arxiv.org/abs/2202.12354

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