论文标题

一个理性表面的自动形态群体:不太大,不要太小

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

论文作者

Kim, Kyounghee

论文摘要

本文涉及Coxeter组亚组的实现问题。我们构建了Coxeter组的亚组$ g $ $ w_ {15} $,以便将$ g $实现为有理表面$ x $和$ g \ g \ cong aut(x)^* \ cong d_3 \ times \ times \ times \ mathbb {z} $的$ g $。我们还表明,$ w_ {14} $中有一个元素$ω$无法实现。

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.

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