### Abstract

We show that in the case of affine and complete algebraic varieties over an algebraically closed field of zero characteristics any endomorphism of such a variety, that is injective on the complement to a subvariety of codimension 2, is an automorphism.

Original language | English (US) |
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Pages (from-to) | 975-977 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 133 |

Issue number | 4 |

DOIs | |

State | Published - Apr 2005 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics