A counterexample to the Hasse principle for a system of two quadratic forms in five variables
A counterexample to the Hasse principle for a system of two quadratic forms in five variables
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五变量两个二次型系统的哈斯原理的反例
DOI：
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发表时间：
1971
期刊：
影响因子：
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通讯作者：
V. A. Iskovskikh
中科院分区：
文献类型：
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作者：
V. A. Iskovskikh
本文构造了一个五元二次型的整系数系统，它在真实的数域和所有p-adic数域中等于零，但在有理数域中不为零.
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.