2000/11/24 by Heather Russell, Heather M. Russell, Russell, Heather
Mathematics · #14C05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #msc:14C05
paper · pdf · doi:10.48550/arxiv.math/0011213
arxiv created 2000/11/24 · openalex publication_date 2000/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study correspondences of zero-dimensional subschemes of a smooth variety X "aligned" in the same way in inside the appropriate product of Hilbert schemes. We show that such correspondences have etale covering by other such correspondences that are affine bundles over flag bundles on the tangent bundle of X. Moreover, we show that for many such coverings, the closures of the correspondences having these coverings vary so much that there is no compactification of the covering dominating all of these closures.