On a theorem of Ax
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- by Shulim Kaliman
- Proc. Amer. Math. Soc. 133 (2005), 975-977
- DOI: https://doi.org/10.1090/S0002-9939-04-07651-8
- Published electronically: August 4, 2004
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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.References
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Bibliographic Information
- Shulim Kaliman
- Affiliation: Department of Mathematics, University of Miami, Coral Gables, Florida 33124
- MR Author ID: 97125
- Email: kaliman@math.miami.edu
- Received by editor(s): June 5, 2002
- Received by editor(s) in revised form: November 20, 2003
- Published electronically: August 4, 2004
- Additional Notes: The author was partially supported by NSA grant MDA904-03-1-0009
- Communicated by: Michael Stillman
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 975-977
- MSC (2000): Primary 14E25, 14R10
- DOI: https://doi.org/10.1090/S0002-9939-04-07651-8
- MathSciNet review: 2117196