Sheaves of Azumaya algebras were introduced by Grothendieck to represent classes in the cohomological Brauer group of schemes, i.e. $Br(X) := H^2_{ét}(X;G_m)$, along the same lines every class in $H^1_{ét}(X;G_m)$ is representable by a line bundle…
Sheaves of Azumaya algebras were introduced by Grothendieck to represent classes in the cohomological Brauer group of schemes, i.e. $Br(X) := H^2_{ét}(X;G_m)$, along the same lines every class in $H^1_{ét}(X;G_m)$ is representable by a line bundle…