2018/02/12 by Youngook Choi, Choi, Youngook, Flaminio Flamini +3
Mathematics · #14D20 #14H60 #14J26 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1802.03956
openalex publication_date 2018/02/12 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The aim of this paper is two--fold. We first strongly improve our previous main result Theorem 3.1 in Arxiv 1702.00918v3 12Feb2018 ("Brill-Noether loci of rank two vector bundles on a general ν-gonal curve"), concerning classification of irreducible components of the Brill--Noether locus parametrizing rank 2 semistable vector bundles of suitable degrees d, with at least d-2g+4 independent global sections, on a general ν--gonal curve C of genus g. We then uses this classification to study several properties of the Hilbert scheme of suitable surface scrolls in projective space, which turn out to be special and stable.