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.
In: Proceedings of the American Mathematical Society, Vol. 133, No. 4, 04.2005, p. 975-977.Research output: Contribution to journal › Article
}
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
AN - SCOPUS:16244373760
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 -