3 papers
math.AG2024
Azumaya algebras over unramified extensions of function fields
Mohammed Moutand
Let be a smooth variety over a field with function field . Using the interpretation of the torsion part of the étale cohomology group $H_{\text{ét}}^2(K(X), \mathbb{G…
math.AG2023
On schemes with trivial higher étale homotopy groups
Mohammed Moutand
Let be a pointed connected noetherian scheme. In this note, we give characterizations for the vanishing of the second étale homotopy group in…
math.AG2020
Brauer groups and étale homotopy type
Mohammed Moutand
Extending a result of Schröer on a Grothendieck question in the context of complex analytic spaces, we prove that the surjectivity of the Brauer map $δ: Br(X) \rightarrow H_{\rm ét…