Simple Birational Extensions of the Polynomial Algebra C[3]

The Abhyankar-Sathaye Problem asks whether any biregular embedding$\varphi \colon {\Bbb C}^{k}\hookrightarrow {\Bbb C}^{n}$can be rectified, that is, whether there exists an automorphism α ∈ Aut Cnsuch that α ⚬ φ is a linear embedding. Here we study this problem for the embeddings$\varphi \colon {\B...

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Veröffentlicht in:	Transactions of the American Mathematical Society 2004-02, Vol.356 (2), p.509-555
Hauptverfasser:	Kaliman, Shulim, Vénéreau, Stéphane, Zaidenberg, Mikhail
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic Geometry Automorphisms Coordinate systems Exact sciences and technology Hypersurfaces Logical proofs Mathematical manifolds Mathematical rings Mathematics Morphisms Polynomials Sciences and techniques of general use
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