English

Rost nilpotence and higher unramified cohomology

Algebraic Geometry 2019-09-05 v3

Abstract

We develop an approach to proving the Rost nilpotence principle involving higher unramified cohomology. We use this to prove the principle for certain varieties of dimension 3\leq 3 over a perfect field.

Keywords

Cite

@article{arxiv.1807.08163,
  title  = {Rost nilpotence and higher unramified cohomology},
  author = {Humberto A. Diaz},
  journal= {arXiv preprint arXiv:1807.08163},
  year   = {2019}
}

Comments

18 pages; final version, to appear in Advances in Math; a previous iteration of this was mistakenly submitted as a new version of arXiv:1906.06598