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.
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| Médium: | Článek |
| Jazyk: | English |
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Académie des sciences
2020-03-01
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| Edice: | Comptes Rendus. Mathématique |
| On-line přístup: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.9/ |