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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.AG2006★ 1 cited
Del Pezzo surfaces and representation theory
Vera Serganova, Alexei Skorobogatov
In his book "Cubic forms" Manin discovered that del Pezzo surfaces are related to root systems. To explain the many numerical coincidences Batyrev conjectured that a universal tors…