A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings

We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two-dimensional henselian local rings.

Bibliografische gegevens
Hoofdauteur: Sakagaito, Makoto
Formaat: Artikel
Taal:English
Gepubliceerd in: Académie des sciences 2020-03-01
Reeks:Comptes Rendus. Mathématique
Online toegang:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.9/