Geodesic
Rational intersection points of two hyperquadrics
Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 631-642

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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. 
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     author = {A. A. Bel'skii},
     title = {Rational intersection points of two hyperquadrics},
     journal = {Sbornik. Mathematics},
     pages = {631--642},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_13_4_a9/}
}
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A. A. Bel'skii. Rational intersection points of two hyperquadrics. Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 631-642. http://geodesic.mathdoc.fr/item/SM_1971_13_4_a9/