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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

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. 622-635.

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Official URL: http://edoc.unibas.ch/dok/A5249050

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Abstract

The Abhyankar-Sathaye Embedded Hyperplane Problem asks whether any hypersurface of U isomorphic to Cn-1 is rectifiable, i.e., equivalent to a linear hyperplane up to an automorphism of C-n. Generalizing the approach adopted by Kaliman, Venereau, and Zaidenberg, which consists in using almost nothing but the acyclicity of Cn-1, 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
Bibsysno:Link to catalogue
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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