On exotic algebraic structures on affine spaces

Abstract

By an exotic algebraic structure on the affine space ${\mathbf{C}}^n$ we mean a smooth affine algebraic variety which is diffeomorphic to ${\mathbf{R}}^{2n}$ but not isomorphic to ${\mathbf{C}}^n$. This is a survey of the recent developement on the subject, which emphasizes its analytic aspects and points out some open problems.

30 pages, author-supplied DVI file available at http://www.math.duke.edu/preprints/95-00.dvi , LaTeX

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