2011/01/04 by Brian Osserman, Osserman, Brian, Montserrat Teixidor i Bigas +1
Mathematics · #14H60 #14M15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14H60 #msc:14M15
paper · pdf · doi:10.48550/arxiv.1101.0825
15 pages
arxiv created 2011/01/04 · openalex publication_date 2011/01/04 · arxiv updated 2011/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by applications to higher-rank Brill-Noether theory and the Bertram-Feinberg-Mukai conjecture, we introduce the concepts of linked alternating and linked symplectic forms on a chain of vector bundles, and show that the linked symplectic Grassmannians parametrizing chains of subbundles isotropic for a given linked symplectic form has good dimensional behavior analogous to that of the classical symplectic Grassmannian.