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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.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…
math.AG2018
Rost Multipliers of Lifted Kronecker Tensor Products
Cameron Ruether
We extend techniques employed by Garibaldi to construct various new injections involving the half-spin group, , induced by lifting the Kronecker tensor product to s…