TY - JOUR
T1 - Affine algebraic manifolds without dominant morphisms from euclidean spaces
AU - Kaliman, Shulim
AU - Makar-Limanov, Leonid
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1997
Y1 - 1997
N2 - E develop a method which in some cases enables us to establish the absence of dominant morphisms from Euclidean spaces into afiine algebraic manifolds which are hypersurfaces in Cn. This approach shows that many of recently constructed smooth contractible hypersurfaces in Cn, n ≥ 4, are not isomorphic to Euclidean spaces and cannot be used as counterexamples to the Zariski cancellation conjecture, to the Abhyankar-Sathaye conjecture, and to the problem of linearizing a C*-action on C3.
AB - E develop a method which in some cases enables us to establish the absence of dominant morphisms from Euclidean spaces into afiine algebraic manifolds which are hypersurfaces in Cn. This approach shows that many of recently constructed smooth contractible hypersurfaces in Cn, n ≥ 4, are not isomorphic to Euclidean spaces and cannot be used as counterexamples to the Zariski cancellation conjecture, to the Abhyankar-Sathaye conjecture, and to the problem of linearizing a C*-action on C3.
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U2 - 10.1216/rmjm/1181071927
DO - 10.1216/rmjm/1181071927
M3 - Article
AN - SCOPUS:0031517045
VL - 27
SP - 601
EP - 610
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
SN - 0035-7596
IS - 2
ER -