2005/11/05 by G. V. Ravindra, V. Srinivas, Ravindra, G. V. +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.math/0511134
openalex publication_date 2005/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that for a normal projective variety X in characteristic 0, and a base-point free ample line bundle L on it, the restriction map of divisor class groups \Cl(X)→ \Cl(Y) is an isomorphism for a general member Y∈ |L| provided that dimX≥ 4. This is a generalization of the Grothendieck-Lefschetz Theorem, for divisor class groups of singular varieties.