Most real analytic Cauchy-Riemann manifolds are nonalgebraizable

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dc.creatorForstneric, Franc
dc.date2004-06-10
dc.date2004-10-07
dc.date.accessioned2026-07-07T05:09:08Z
dc.date.available2026-07-07T05:09:08Z
dc.descriptionWe 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.
dc.descriptionTo appear in Manuscripta Math
dc.identifierhttps://arxiv.org/abs/math/0406210
dc.identifierhttp://arxiv.org/abs/math/0406210
dc.identifierManuscripta math., 115 (2004), 489-494
dc.identifierdoi:10.1007/s00229-004-0507-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71521
dc.subjectComplex Variables
dc.subject32V20, 32V30
dc.titleMost real analytic Cauchy-Riemann manifolds are nonalgebraizable
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