Geodesic
Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space
Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 311-317.

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It is proven that the (multiplicative) order of the Cartan image and the coordinate ratios of its Chow point provide a complete system of invariants (arithmetic and rational) of algebraic manifold $V$ with respect to algebraic group $G$ of the birational transformations of the space. These invariants define $V$ uniquely to within transformations of $G$. 
@article{MZM_1970_7_3_a7,
     author = {Yu. E. Borovskii},
     title = {Method of the moving coordinate frame in the problem of classifying manifolds in algebraic {Klein} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {311--317},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a7/}
}
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Yu. E. Borovskii. Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space. Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 311-317. http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a7/