Geodesic
Théorie des nombres, Algèbre homologique
A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings
[Une note sur la conjecture de Gersten pour la cohomologie étale sur des anneaux locaux réguliers henséliens à deux dimensions]
Sakagaito, Makoto1
1 Indian Institute of Science Education and Research, Mohali
Comptes Rendus. Mathématique, Tome 358 (2020) no. 1, pp. 33-39.

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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.

Nous montrons la conjecture de Gersten pour la cohomologie étale sur des anneaux locaux réguliers henséliens sans supposer de caractère équicaractéristique. En application, nous obtenons le principe local-global pour la cohomologie de Galois sur des anneaux locaux henséliens à deux dimensions de caractéristique mixte.

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DOI : 10.5802/crmath.9

Sakagaito, Makoto 1

1 Indian Institute of Science Education and Research, Mohali
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Sakagaito, Makoto. A note on Gersten’s conjecture for étale cohomology over two-dimensional henselian regular local rings. Comptes Rendus. Mathématique, Tome 358 (2020) no. 1, pp. 33-39. doi : 10.5802/crmath.9. http://geodesic.mathdoc.fr/articles/10.5802/crmath.9/

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