2009/05/11 by Eduardo Esteves, Esteves, Eduardo
Computer Science · Mathematics · #14C20 #14D06 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.0905.1656
openalex publication_date 2009/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a one-parameter family of algebraic varieties degenerating to a reducible one. Our main result is a formula for the fundamental cycle of the limit subscheme of any family of effective Cartier divisors. The formula expresses this cycle as a sum of Cartier divisors, not necessarily effective, of the components of the limit variety.