2010/01/23 by Jae-Hyouk Lee, Lee, Jae-Hyouk
Mathematics · #Advanced Combinatorial Mathematics #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics #Combinatorics (math.CO) #FOS: Mathematics #Geometry #Group (periodic table) #Incircle and excircles of a triangle #Inscribed figure #Mathematics #Physics #Picard group #Polytope #Simplex #math.AG #math.CO
paper · pdf · doi:10.48550/arxiv.1001.4174
41 pages
arxiv created 2010/01/23 · openalex publication_date 2010/01/23 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
In this article, we study the divisor classes of del Pezzo surfaces, which are written as the sum of distinct lines with fixed intersection according to the inscribed simplexes and crosspolytopes in Gosset polytopes. We introduce the k-Steiner system and cornered simplexes, and characterize the configurations of inscribed m(<4)-simplexes with them. Higher dimensional inscribed m(3