Automorphisms of certain affine complements in projective space

  title={Automorphisms of certain affine complements in projective space},
  author={Aleksandr Pukhlikov},
  journal={Sbornik: Mathematics},
  pages={276 - 289}
  • A. Pukhlikov
  • Published 31 March 2017
  • Mathematics
  • Sbornik: Mathematics
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. 

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