2010/08/31 by Brian Osserman, Osserman, Brian
Mathematics · #14H51 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14H51
paper · pdf · doi:10.48550/arxiv.1008.5216
7 pages
arxiv created 2010/08/31 · openalex publication_date 2010/08/31 · arxiv updated 2010/09/01 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28
In this note, we describe a theory of linked Hom spaces which complements that of linked Grassmannians. Given two chains of vector bundles linked by maps in both directions, we give conditions for the space of homomorphisms from one chain to the other to be itself represented by a vector bundle. We apply this to present a more transparent version of an earlier construction of limit linear series spaces out of linked Grassmannians.