On exotic algebraic structures on affine spaces

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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

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