Geodesic
A Cubic Model of a Real Variety
Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 503-519

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In the paper a cubic model is constructed for a germ of a real subvariety in a complex space. It is shown that in its range of codimensions this model possesses the full spectrum of properties similar to well-known properties of tangent quadrics. 
@article{MZM_2001_70_4_a2,
     author = {V. K. Beloshapka},
     title = {A {Cubic} {Model} of a {Real} {Variety}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--519},
     publisher = {mathdoc},
     volume = {70},
     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a2/}
}
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V. K. Beloshapka. A Cubic Model of a Real Variety. Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 503-519. http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a2/