A~Quasiperiodic System of Polynomial Models of CR-Manifolds
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 7-35
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Polynomial models for the germs of real submanifolds of a complex space are constructed. For the germs whose Levi–Tanaka algebra has length 2, such a sufficiently well-studied model is given by a tangent quadric. It is shown that models of the third and fourth degrees (algebras of lengths 3 and 4) possess, in their codimension ranges, a full spectrum of properties that are completely analogous to the properties of tangent quadrics. For the constructed higher order models, a full spectrum of properties is obtained with the only exception that they are not fully universal.
@article{TM_2001_235_a0,
author = {V. K. Beloshapka},
title = {A~Quasiperiodic {System} of {Polynomial} {Models} of {CR-Manifolds}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {7--35},
publisher = {mathdoc},
volume = {235},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2001_235_a0/}
}
V. K. Beloshapka. A~Quasiperiodic System of Polynomial Models of CR-Manifolds. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analytic and geometric issues of complex analysis, Tome 235 (2001), pp. 7-35. http://geodesic.mathdoc.fr/item/TM_2001_235_a0/