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math.AG2009★ 41 cited
On the Brauer group of diagonal quartic surfaces
Evis Ieronymou, Alexei N. Skorobogatov, Yuri G. Zarhin
We obtain an easy sufficient condition for the Brauer group of a diagonal quartic surface D over Q to be algebraic. We also give an upper bound for the order of the quotient of the…
math.AG2009
The Brauer group of Kummer surfaces and torsion of elliptic curves
Alexei N. Skorobogatov, Yuri G. Zarhin
We relate the Brauer group of a Kummer surface to the Brauer group of the corresponding abelian surface. For many pairs of elliptic curves over the rational numbers we prove that t…