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

Autor:	Kim, Kyounghee
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2202.12354 Zobrazit plný text záznamu View this record from Arxiv