Geodesic
Example of a linear algebra variety with the polynomial growth lower than three
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 51-54

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In the case of characteristic zero, an example of a linear algebra variety with the growth greater than quadratic, but lower than cubic is constructed. 
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     author = {S. P. Mishchenko},
     title = {Example of a linear algebra variety with the polynomial growth lower than three},
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S. P. Mishchenko. Example of a linear algebra variety with the polynomial growth lower than three. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2013), pp. 51-54. http://geodesic.mathdoc.fr/item/VMUMM_2013_3_a7/