Displaying similar documents to “The automorphism groups of Zariski open affine subsets of the affine plane”

Topology of families of affine plane curves

Hà Huy Vui, Pham Tien Son (1999)

Annales Polonici Mathematici

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We determine bifurcation sets of families of affine curves and study the topology of such families.

On the Nagata automorphism.

Spodzieja, Stanisław (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Injective endomorphisms of algebraic and analytic sets

Sławomir Cynk, Kamil Rusek (1991)

Annales Polonici Mathematici

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We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.

Jung's type theorem for polynomial transformations of ℂ²

Sławomir Kołodziej (1991)

Annales Polonici Mathematici

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We prove that among counterexamples to the Jacobian Conjecture, if there are any, we can find one of lowest degree, the coordinates of which have the form x m y n + terms of degree < m+n.