41 citations · 153 across the 33 of their papers we have counts for
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math.AG2010
Descent theory for open varieties
David Harari, Alexei N. Skorobogatov
We extend the descent theory of Colliot-Thélène and Sansuc to arbitrary smooth algebraic varieties by removing the condition that every invertible regular function is constant. Thi…
math.AG2010
Good reduction of the Brauer-Manin obstruction
J. -L. Colliot-Thélène, A. N. Skorobogatov
For a smooth and projective variety over a number field with torsion free geometric Picard group and finite transcendental Brauer group we show that only the archimedean places, th…
math.AG2010★ 2 cited
Adjoint representation of E_8 and del Pezzo surfaces of degree 1
Vera V. Serganova, Alexei N. Skorobogatov
Let X be a del Pezzo surface of degree 1, and let G be the simple Lie group of type E_8. We construct a locally closed embedding of a universal torsor over X into the G-orbit of th…