On a theorem of AX

Shulim Kaliman

doi:10.1090/S0002-9939-04-07651-8

On a theorem of AX

Shulim Kaliman

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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	https://doi.org/10.1090/S0002-9939-04-07651-8
State	Published - Apr 2005

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-04-07651-8

Cite this

@article{291d34a39c8647c4871273992f84fab4,

title = "On a theorem of AX",

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.",

author = "Shulim Kaliman",

year = "2005",

month = apr,

doi = "10.1090/S0002-9939-04-07651-8",

language = "English (US)",

volume = "133",

pages = "975--977",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

}

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 -

On a theorem of AX

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this