A. Skorobogatov

activity

19972010

most citedA finiteness theorem for the Brauer group of abelian varieties and K3 surfaces

9 citations · 10 across the 3 of their papers we have counts for

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math.NT2006★ 9 cited

A finiteness theorem for the Brauer group of abelian varieties and K3 surfaces

Alexei Skorobogatov, Yuri Zarhin

Let $k$ be a field that is finitely generated over the field of rational numbers and $B r (k)$ the Brauer group of $k$ . Let $X$ be an absolutely irreducible smooth projective variety…

math.NT2004

Failure of the Hasse principle for Atkin-Lehner quotients of Shimura curves over \Q

V. Rotger, A. Skorobogatov, A. Yafaev

We show how to construct counter-examples to the Hasse principle over the field of rational numbers on Atkin-Lehner quotients of Shimura curves and on twisted forms of Shimura curv…