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On a theorem of Ax

Author: Shulim Kaliman
Journal: Proc. Amer. Math. Soc. 133 (2005), 975-977
MSC (2000): Primary 14E25, 14R10
Published electronically: August 4, 2004
MathSciNet review: 2117196
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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 [Enhancements On Off] (What's this?)

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Additional Information

Shulim Kaliman
Affiliation: Department of Mathematics, University of Miami, Coral Gables, Florida 33124

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
Article copyright: © Copyright 2004 American Mathematical Society

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