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A new construction of a compactification of ${\bf C}^3$

A new construction of a compactification of ${\bf C}^3$

Introduction.Let (X, Y) be a smooth projective compactification of C 3 , namely, Xis a smooth projective 3-fold and Fis a subvariety of X such that X-Fis analytically isomorphic to C 3 .We will write simply as X-Y^ C 3 if there is an algebraic isomorphism of X-Y onto C …