Moduli of étale subalgebras in an Azumaya algebra

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dc.creatorKrashen, Daniel
dc.date2004-11-24
dc.date.accessioned2026-07-07T05:14:38Z
dc.date.available2026-07-07T05:14:38Z
dc.descriptionLet $A$ be a sheaf of Azumaya algebras over a Noetherian base $S$. In this paper we describe using generalized Severi-Brauer varieties, a quasi-projective moduli space parametrizing sheaves of ètale subalgebras of $A$. In the case that $S$ is the spectrum of a field, we study the geometry of this moduli space, and show that in certain cases it is a rational variety.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0411529
dc.identifierhttp://arxiv.org/abs/math/0411529
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73349
dc.subjectRings and Algebras
dc.subjectAlgebraic Geometry
dc.subject16H05; 16K20; 14M15; 14M20
dc.titleModuli of étale subalgebras in an Azumaya algebra
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