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Most real analytic Cauchy-Riemann manifolds are nonalgebraizable

Franc Forstneric
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Abstract

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.

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Franc Forstneric. 2004-10-07. Most real analytic Cauchy-Riemann manifolds are nonalgebraizable. https://doi.org/10.1007/s00229-004-0507-4

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