2005/02/07 by Jesper Funch Thomsen, Thomsen, Jesper Funch
Mathematics · #13A35 #14M17 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT #msc:13A35 #msc:14M17
paper · pdf · doi:10.48550/arxiv.math/0502114
23 pages
arxiv created 2005/02/07 · openalex publication_date 2005/02/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G denote a connected semisimple and simply connected algebraic group over an algebraically closed field k of positive characteristic and let g denote a regular element of G. Let X denote any equivariant embedding of G. We prove that the closure of the conjugacy class of g within X is normal and Cohen-Macaulay. Moreover, when X is smooth we prove that this closure is a local complete intersection. As a consequence, the closure of the unipotent variety within X share the same geometric properties.