12 citations · 82 across the 30 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.AG2015★ 5 cited
Azumaya Algebras Without Involution
Asher Auel, Uriya A. First, Ben Williams
Generalizing a theorem of Albert, Saltman showed that an Azumaya algebra over a ring represents a -torsion class in the Brauer group if and only if there is an algebra …
math.RA2015
Rationally Isomorphic Hermitian Forms and Torsors of Some Non-Reductive Groups
Eva Bayer-Fluckiger, Uriya A. First
Let be a semilocal Dedekind domain. Under certain assumptions, we show that two (not necessarily unimodular) hermitian forms over an -algebra with involution, which are rati…
math.RA2015
Patching and Weak Approximation in Isometry Groups
Eva Bayer-Fluckiger, Uriya A. First
Let be a semilocal principal ideal domain. Two algebraic objects over in which scalar extension makes sense (e.g. quadratic spaces) are said to be of the same genus if they…