2008/01/24 by Franck Doray, Doray, Franck
Mathematics · #14L35 #14M17 #20G15 #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Economics #FOS: Mathematics #Forestry #Geography #Geology #Humanities #Mathematics #Philosophy #math.AG #msc:14L35 #msc:14M17 #msc:20G15
paper · pdf · doi:10.48550/arxiv.0801.3811
published in arXiv (Cornell University) (Cornell University) · 35 pages
arxiv created 2008/01/24 · openalex publication_date 2008/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Let A be an Azumaya algebra over a field. If G is the group of automorphisms of A and X denotes a projective homogeneous variety under G, we construct in a very explicit way and under suitable hypotheses a bundle V on S, where S is a (generalized) Severi-Brauer variety associated to A, and a canonical isomorphism between X and a flag bundle on V. This allows to explicitely compute Chow groups of X in terms of the Chow groups of S.