Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 253-257
Citer cet article
V. A. Iskovskikh. A counterexample to the Hasse principle for a system of two quadratic forms in five variables. Matematičeskie zametki, Tome 10 (1971) no. 3, pp. 253-257. http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a1/
@article{MZM_1971_10_3_a1,
author = {V. A. Iskovskikh},
title = {A counterexample to the {Hasse} principle for a system of two quadratic forms in five variables},
journal = {Matemati\v{c}eskie zametki},
pages = {253--257},
year = {1971},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a1/}
}
TY - JOUR
AU - V. A. Iskovskikh
TI - A counterexample to the Hasse principle for a system of two quadratic forms in five variables
JO - Matematičeskie zametki
PY - 1971
SP - 253
EP - 257
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a1/
LA - ru
ID - MZM_1971_10_3_a1
ER -
%0 Journal Article
%A V. A. Iskovskikh
%T A counterexample to the Hasse principle for a system of two quadratic forms in five variables
%J Matematičeskie zametki
%D 1971
%P 253-257
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_3_a1/
%G ru
%F MZM_1971_10_3_a1
A system of two quadratic forms in five variables with integer coefficients is constructed, which is equal to zero in the field of real numbers and in all $p$-adic fields, but is not zero in the field of rationals.
