### 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) |
---|---|

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

### Cite this

**On a theorem of AX.** / Kaliman, Shulim.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 133, no. 4, pp. 975-977. https://doi.org/10.1090/S0002-9939-04-07651-8

}

TY - JOUR

T1 - On a theorem of AX

AU - Kaliman, Shulim

PY - 2005/4

Y1 - 2005/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=16244373760&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=16244373760&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-04-07651-8

DO - 10.1090/S0002-9939-04-07651-8

M3 - Article

VL - 133

SP - 975

EP - 977

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -