David Harari, Alexei N. Skorobogatov
Published 2010-12-08Version 1
We extend the descent theory of Colliot-Th\'el\`ene and Sansuc to arbitrary smooth algebraic varieties by removing the condition that every invertible regular function is constant. This links the Brauer--Manin obstruction for integral points on arithmetic schemes to the obstructions defined by torsors under groups of multiplicative type.
Étale duality for constructible sheaves on arithmetic schemes
The Hilbert property for arithmetic schemes
Prismatic $G$-display and descent theory
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