This article is cited in 3 papers

Classes of points of cubic hypersurfaces defined over finite fields

D. S. Kanevskii

M. V. Lomonosov Moscow State University

Abstract: The points of a cubic hypersurface are divided into equivalence classes of Ya. I. Manin [1]. It is established that the quasigroup of these equivalence classes over a finite field is isomorphic to either 1 or $Z_2$ or $Z_3$ under some weak conditions.

UDC: 513

Received: 04.07.1975

 English version: Mathematical Notes, 1976, 20:1, 625–630

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