Automorphisms of affine smooth varieties

Jelonek, Zbigniew; Lenarcik, Tomasz

doi:10.1090/S0002-9939-2014-12033-8

Automorphisms of affine smooth varieties
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by Zbigniew Jelonek and Tomasz Lenarcik

Proc. Amer. Math. Soc. 142 (2014), 1157-1163

DOI: https://doi.org/10.1090/S0002-9939-2014-12033-8

Published electronically: January 30, 2014

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Abstract:

Let $k$ be an algebraically closed field. If $X$ is a smooth projective variety over $k$ and $H\subset X$ is a very ample hypersurface without ruled components, then the group $\mathrm {Aut}(X\setminus H)$ is finite and equal to $\mathrm {Stab}_X(H)=\{ \phi \in \mathrm {Aut}(X): \phi (H)=H\}.$

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