Low degree unramified cohomology of generic diagonal hypersurfaces
Algebraic Geometry
2023-08-15 v1
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.
Cite
@article{arxiv.2308.06809,
title = {Low degree unramified cohomology of generic diagonal hypersurfaces},
author = {Jean-Louis Colliot-Thélène and Alexei N. Skorobogatov},
journal= {arXiv preprint arXiv:2308.06809},
year = {2023}
}
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12 pages