2004/11/24 by Daniel Krashen, Krashen, Daniel
Mathematics · #14M15 #14M20 #16H05 #16K20 #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Algebraically closed field #Base (topology) #Brauer group #Computer science #FOS: Mathematics #Field (mathematics) #Mathematical analysis #Mathematics #Moduli #Moduli space #Noetherian #Physics #Projective variety #Pure mathematics #Rings and Algebras (math.RA) #Sheaf #Space (punctuation) #Spectrum (functional analysis) #Variety (cybernetics) #math.AG #math.RA #msc:14M15 #msc:14M20 #msc:16H05 #msc:16K20
paper · pdf · doi:10.48550/arxiv.math/0411529
published in arXiv (Cornell University) (Cornell University) · 8 pages
arxiv created 2004/11/24 · openalex publication_date 2004/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Let 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.