Local-global principle for certain biquadratic normic bundles
Yang Cao ; Yongqi Liang
Acta Arithmetica, Tome 166 (2014), p. 137-144 / Harvested from The Polish Digital Mathematics Library
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Let X be a proper smooth variety having an affine open subset defined by the normic equation Nk(√a,√b)/k(x)=Q(t₁,...,tₘ)² over a number field k. We prove that: (1) the failure of the local-global principle for zero-cycles is controlled by the Brauer group of X; (2) the analogue for rational points is also valid assuming Schinzel’s hypothesis.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:286627 
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     year = {2014},
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     zbl = {1323.11046},
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Yang Cao; Yongqi Liang. Local-global principle for certain biquadratic normic bundles. Acta Arithmetica, Tome 166 (2014) pp. 137-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-2-3/