Low degree unramified cohomology of generic diagonal hypersurfaces

Author:

Jean-Louis Colliot-Thélène, Alexei N. Skorobogatov

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

journal:

date:

2023-08-12 16:00:00

Abstract

We prove that the i-th unramified cohomology group of the generic diagonal hypersurface in the projective space of dimension n>i is trivial for i=1,2,3.

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