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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1971 Volume 84(126), Number 4, Pages 633–644 (Mi sm3178)

Rational intersection points of two hyperquadrics

A. A. Bel'skii


Abstract: In this article equivalence relations are studied on the set of rational intersection points of two hyperquadrics of sufficiently general type, the classes of which form in a natural way an abelian group of period two. For elliptic curves the constructions performed agree with the known ones.
Bibliography: 9 titles.

UDC: 513.015.7

MSC: Primary 14M20; Secondary 10B05, 14C15

Received: 28.09.1970


 English version:
Mathematics of the USSR-Sbornik, 1971, 13:4, 631–642

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© Steklov Math. Inst. of RAS, 2026