Geodesic
Polynomial models of real manifolds
Izvestiya. Mathematics , Tome 65 (2001) no. 4, pp. 641-657.

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We construct polynomial models for germs of real submanifolds in complex space. It was shown earlier that the properties of models of degree 3 (for appropriate values of the codimension) are similar to well-known properties of tangent quadrics. In this paper we construct models of arbitrarily high degree. They have all these properties with one exception: from degree 5 onwards, they are not completely universal. 
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     title = {Polynomial models of real manifolds},
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V. K. Beloshapka. Polynomial models of real manifolds. Izvestiya. Mathematics , Tome 65 (2001) no. 4, pp. 641-657. http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a0/

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