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math.RA2004
Moduli of étale subalgebras in an Azumaya algebra
Daniel Krashen
Let be a sheaf of Azumaya algebras over a Noetherian base . In this paper we describe using generalized Severi-Brauer varieties, a quasi-projective moduli space parametrizin…
math.RA2002
Severi-Brauer varieties of semidirect product algebras
Daniel Krashen
A conjecture of Amitsur states that two Severi-Brauer varieties are birationally isomorphic if and only if the underlying algebras are the same degree and generate the same cyclic…
math.RA2002
Birational isomorphisms between generalized Severi-Brauer varieties
Daniel Krashen
The aim of this paper is to investigate the birational geometry of Generalized Severi-Brauer varieties. A conjecture of Amitsur states that two Severi-Brauer varieties and $…