Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 311-317
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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/
@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},
year = {1970},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a7/}
}
TY - JOUR
AU - Yu. E. Borovskii
TI - Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space
JO - Matematičeskie zametki
PY - 1970
SP - 311
EP - 317
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a7/
LA - ru
ID - MZM_1970_7_3_a7
ER -
%0 Journal Article
%A Yu. E. Borovskii
%T Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space
%J Matematičeskie zametki
%D 1970
%P 311-317
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a7/
%G ru
%F MZM_1970_7_3_a7
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 $G$.
