On contractible curves in the complex affine plane
Concerning the topologically contractible curves embedded in the affine plane defined over the complex numbers we shall present new conceptual proofs to the theorem of \textit{S. S. Abhyankar} and \textit{T. Moh} [J. Reine Angew. Math. 276, 148-166 (1975; Zbl 0332.14004)] and the theorem of \textit{M. G. Zajdenberg} and \textit{V. Ya Lin} [Sov. Math., Dokl. 28, 200-204 (1983); translation from Dokl. Adad. Nauk SSSR 271, 1048-1052 (1983; Zbl 0564.14014)] which are based on the structure theorems of non-complete algebraic surfaces.
scientific article; zbMATH DE number 1044124
scientific article