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In algebraic geometry, an exotic affine space is a complex algebraic variety that is diffeomorphic to R 2 n {\displaystyle \mathbb {R} ^{2n}} for some n, but is not isomorphic as an algebraic variety to C n {\displaystyle \mathbb {C} ^{n}}. An example of an exotic C 3 {\displaystyle \mathbb {C} ^{3}} is the Koras–Russell cubic threefold, which is the subset of C 4 {\displaystyle \mathbb {C} ^{4}} defined by the polynomial equation

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