Venereau, S.. (2005) Hyperplanes of the form f(1) (x, y)z(1)+center dot center dot center dot+f(k)(x, y)z(k)+g(x, y) are variables. Canadian mathematical bulletin = Bulletin canadien de mathématiques, Vol. 48, H. 4. pp. 622635.
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Official URL: http://edoc.unibas.ch/dok/A5249050
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Abstract
The AbhyankarSathaye Embedded Hyperplane Problem asks whether any hypersurface of U isomorphic to Cn1 is rectifiable, i.e., equivalent to a linear hyperplane up to an automorphism of Cn. Generalizing the approach adopted by Kaliman, Venereau, and Zaidenberg, which consists in using almost nothing but the acyclicity of Cn1, we solve this problem for hypersurfaces given by polynomials of C[x, y, z(1),..., z(k)] as in the title.
Faculties and Departments:  05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft) 

UniBasel Contributors:  Vénéreau, Stéphane 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  Univ. of Toronto Press 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Identification Number: 

Last Modified:  04 Sep 2015 14:31 
Deposited On:  22 Mar 2012 13:57 
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