3 papers
math.AG2026
Outer Type Severi-Brauer Schemes
Cameron Ruether
We introduce the notion of a lowered flag of --modules in order to define a sheaf of flags of ideals isomorphic to the sheaf of parabolic subgroups for the general lin…
math.AG2024
Triality over Schemes
Cameron Ruether
Working over an arbitrary base scheme, we provide an alternative development of triality which does not use Octonion algebras or symmetric composition algebras. Instead, we use the…
math.AG2023
The Canonical Quadratic Pair on Clifford Algebras over Schemes
Cameron Ruether
Working over an arbitrary base scheme , we define the canonical quadratic pair on the Clifford algebra associated to an Azumaya algebra with quadratic pair. Given an Azumaya alg…