1999/01/05 by Andrzej Weber, Weber, Andrzej
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Brouwer fixed-point theorem #Codimension #Cohomology #Commutative Algebra and Its Applications #Complete intersection #FOS: Mathematics #Gravitational singularity #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Intersection (aeronautics) #Intersection homology #Intersection theory #Lefschetz fixed-point theorem #Mathematical analysis #Mathematics #Morphism #Pure mathematics #Topological and Geometric Data Analysis #math.AG
paper · pdf · doi:10.48550/arxiv.math/9901012
13 pages, AMS-TeX
arxiv created 1999/01/05 · openalex publication_date 1999/01/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a possibility of the existence of intersection homology morphism, which would be associated to a map of analytic varieties. We assume that the map is an inclusion of codimension one. Then the existence of a morphism follows from Saito's decomposition theorem. For varieties with conical singularities we show, that the existence of intersection homology morphism is exactly equivalent to the validity of Hard Lefschetz Theorem for links. For varieties with arbitrary analytic singularities we extract a remarkable property, which we call Local Hard Lefschetz.