3 papers
math.AG2025
On deformations of Azumaya algebras with quadratic pair
Eoin Mackall, Cameron Ruether
We construct a tangent-obstruction theory for Azumaya algebras equipped with a quadratic pair. Under the assumption that either 2 is a global unit or the algebra is of degree 2, we…
math.AG2025
Azumaya Algebras and Obstructions to Quadratic Pairs over a Scheme
Philippe Gille, Erhard Neher, Cameron Ruether
We investigate quadratic pairs for Azumaya algebras with involutions over a base scheme S as defined by Calm{è}s and Fasel, generalizing the case of quadratic pairs on central sim…
math.AG2024
The Norm Functor over Schemes
Philippe Gille, Erhard Neher, Cameron Ruether
We construct a globalization of Ferrand's norm functor over rings which generalizes it to the setting of a finite locally free morphism of schemes of constant rank. It sen…