2013/03/31 by Friedrich Knop · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Geometric shape #Holomorphic and Operator Theory #Homotopy and Cohomology in Algebraic Topology #Spherical mean #Type (biology) #Variety (cybernetics) #math.AG #math.RT #msc:14M27
paper · pdf · doi:10.2140/ant.2014.8.703
published as Algebra Number Theory 8 (2014), 703-728 · v1: 25 pages; v2: 21 pages, reformatted to LaTeX, otherwise minor changes; v3: 22 pages, final version
arxiv created 2013/11/23 · openalex publication_date 2014/05/31 · arxiv updated 2014/12/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We prove some fundamental structural results for spherical varieties in arbitrary characteristic. In particular, we study Luna’s two types of localization and use them to analyze spherical roots, colors, and their interrelation. At the end, we propose a preliminary definition of a [math] -spherical system.