1994/03/11 by Masanori Ishida, Masa-Nori Ishida, Ishida, Masa-Nori · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9403009
47 pages, latex
arxiv created 1994/03/11 · openalex publication_date 1994/03/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the previous paper, we describe the intersection complexes of a toric variety as a finite complex of graded exterior modules on the associated fan. In this second part, we rewrite it explicitly by the barycentric subdivision of the fan. We get the decomposition theorem of the intersection homologies for a barycentric subdivision of a fan in the case of middle perversity. We get also the diagonal theorems I and II. These theorems give a new proof of the g-comnjecture on a simplicial polytope which was proved by R. Stanley.