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Most real analytic Cauchy-Riemann manifolds are nonalgebraizable
We give a very simple argument to the effect that most germs of generic real
analytic Cauchy-Riemann manifolds of positive CR dimension are not
holomorphically embeddable into any generic real algebraic CR manifold of the
same real codimension in a finite dimensional space. In particular, most such
germs are not holomorphically equivalent to a germ of a generic real algebraic
CR manifold.Comment: To appear in Manuscripta Mat
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