# Automorphisms of certain affine complements in projective space

@article{Pukhlikov2017AutomorphismsOC, title={Automorphisms of certain affine complements in projective space}, author={Aleksandr Pukhlikov}, journal={Sbornik: Mathematics}, year={2017}, volume={209}, pages={276 - 289} }

We prove that every biregular automorphism of the affine algebraic variety , , where is a hypersurface of degree with a unique singular point of multiplicity , resolved by one blow up, is a restriction of some automorphism of the projective space preserving the hypersurface ; in particular, for a general hypersurface the group is trivial. Bibliography: 24 titles.

## One Citation

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Mathematics

Compositio Mathematica

We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and…

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Mathematics

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Mathematics

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Mathematics

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Mathematics

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