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Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. I

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Abstract

A review of the current state of the diametral theory of algebraic hypersurfaces in the real Euclidean space is given.

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Authors and Affiliations

  1. Simferopol University, Simferopol

    V. F. Ignatenko

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  1. V. F. Ignatenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 639–653, May, 1998.

The present paper is based on talks delivered by the author at the International Conference on Geometry “as a Whole” [1] and the Second Crimean Mathematical School “Method of Lyapunov Functions and Its Applications” [2].

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Ignatenko, V.F. Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. I. Ukr Math J 50, 726–740 (1998). https://doi.org/10.1007/BF02514326

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