Rational intersection points of two hyperquadrics
Sbornik. Mathematics, Tome 13 (1971) no. 4, pp. 631-642 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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.
@article{SM_1971_13_4_a9,
     author = {A. A. Bel'skii},
     title = {Rational intersection points of two hyperquadrics},
     journal = {Sbornik. Mathematics},
     pages = {631--642},
     year = {1971},
     volume = {13},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_13_4_a9/}
}
TY  - JOUR
AU  - A. A. Bel'skii
TI  - Rational intersection points of two hyperquadrics
JO  - Sbornik. Mathematics
PY  - 1971
SP  - 631
EP  - 642
VL  - 13
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SM_1971_13_4_a9/
LA  - en
ID  - SM_1971_13_4_a9
ER  - 
%0 Journal Article
%A A. A. Bel'skii
%T Rational intersection points of two hyperquadrics
%J Sbornik. Mathematics
%D 1971
%P 631-642
%V 13
%N 4
%U http://geodesic.mathdoc.fr/item/SM_1971_13_4_a9/
%G en
%F SM_1971_13_4_a9
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/

[1] Algebraicheskie poverkhnosti, Trudy Matem. in-ta im. V. A. Steklova, 75, 1965 | MR | Zbl

[2] Algebraicheskaya teoriya chisel, Mir, Moskva, 1970

[3] A. Grothendieck, “Le groupe de Brauer”, Sem. Bourbaki, 290 (1965); 297, 1965–1966 | Zbl

[4] Dzh. Kassels, “Diofantovy uravneniya so spetsialnym rassmotreniem ellipticheskikh krivykh”, Matematika, 12:1 (1968), 113–160

[5] Yu. I. Manin, “Kubicheskie giperpoverkhnosti. I”, Kvazigruppy klassov tochek, Izv AN SSSR, seriya matem., 32 (1968), 1223–1244 | MR | Zbl

[6] Yu. I. Manin, “Kubicheskie giperpoverkhnosti. III. Lupy Mufang i ekvivalentnost Brauera”, Matem. sb., 79(121) (1959), 155–170 | MR

[7] Yu. I. Manin, Ratsionalnye poverkhnosti nad sovershennymi polyami, Publ. Math. IHES, no. 30, 1966 | MR

[8] V. Khodzh, D. Pido, Metody algebraicheskoi geometrii, t. II, IL, Moskva, 1954

[9] N. G. Chebotarev, Teoriya algebraicheskikh funktsii, Gostekhizdat, Moskva–Leningrad, 1948