2008/02/29 by Vladimir Baranovsky, Baranovsky, Vladimir
Mathematics · #14B20 #14D15 #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Codimension #Complement (music) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics #Scheme (mathematics) #math.AG #msc:14B20 #msc:14D15
paper · pdf · doi:10.48550/arxiv.0802.4338
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2008/02/29 · arxiv created 2008/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the algebraization problem for principal bundles with reductive structure group, defined on the complement of a closed subset Z in a proper formal scheme. We show that, when Z is of codimension at least 3, an algebraization always exists. For codimension 2 we show that an algebraization exists precisely when a certain additional condition is satisfied.