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Displaying similar documents to “Miyanishi's characterization of the affine 3-space does not hold in higher dimensions”

Classification of degree 2 polynomial automorphisms of C.

John Erik Fornaess, He Wu (1998)

Publicacions Matemàtiques

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For the family of degree at most 2 polynomial self-maps of C3 with nowhere vanishing Jacobian determinant, we give the following classification: for any such map f, it is affinely conjugate to one of the following maps: (i) An affine automorphism; (ii) An elementary polynomial autormorphism E(x, y, z) = (P(y, z) + ax, Q(z) + by, cz + d), where P and Q are polynomials with max{deg(P), deg(Q)} = 2 and abc ≠ 0. ...