Is the Affine Space Determined by Its Automorphism Group?

Abstract In this note we study the problem of characterizing the complex affine space ${\mathbb{A}}^n$ via its automorphism group. We prove the following. Let $X$ be an irreducible quasi-projective $n$-dimensional variety such that $\operatorname{Aut}(X)$ and $\operatorname{Aut}({\mathbb{A}}^n)$ are...

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Veröffentlicht in:	International mathematics research notices 2021-03, Vol.2021 (6), p.4280-4300
Hauptverfasser:	Kraft, Hanspeter, Regeta, Andriy, van Santen (born Stampfli), Immanuel
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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