1997/05/22 by Montserrat Teixidor i Bigas, Montserrat Teixidor-i-Bigas, Teixidor-i-Bigas, Montserrat
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9705020
plaintex. To appear in Proceedings of the AMS
arxiv created 1997/05/22 · openalex publication_date 1997/05/22 · arxiv updated 2009/11/30 · openalex created_date 2017/07/14 · openalex updated_date 2026/07/28
This paper considers curves in Grassmannians which are themselves immersed in projective space by the Plucker map. It is shown that for a generic vector bundle of high enough degree, the image curve lies in a proper linear subvariety of this projective space and satisfies good conditions on syzygies as a curve in this subspace. For very small degree and generic vector bundle, the curve is non- degenerate.