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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1970, Volume 7, Issue 3, Pages 311–317 (Mi mz9511)

Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space

Yu. E. Borovskii

Institute of Mathematics, Siberian Branch, Academy of Sciences of the USSR

Abstract: 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 $G$.

Full text: PDF file (1075 kB)

English version:
Mathematical Notes, 1970, 7:3, 190–193

Bibliographic databases:

UDC: 513.6

Citation: Yu. E. Borovskii, “Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space”, Mat. Zametki, 7:3 (1970), 311–317; Math. Notes, 7:3 (1970), 190–193

Citation in format AMSBIB
\Bibitem{Bor70} \by Yu.~E.~Borovskii \paper Method of the moving coordinate frame in the problem of classifying manifolds in algebraic Klein space \jour Mat. Zametki \yr 1970 \vol 7 \issue 3 \pages 311--317 \mathnet{http://mi.mathnet.ru/mz9511} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=267048} \zmath{https://zbmath.org/?q=an:0208.24001} \transl \jour Math. Notes \yr 1970 \vol 7 \issue 3 \pages 190--193 \crossref{https://doi.org/10.1007/BF01093112}