Moduli spaces of bundles and Hilbert schemes of scrolls over ? -gonal curves

• Autores: Youngook Choi, Flaminio Flamini, Seonja Kim
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 70, Fasc. 2, 2019, págs. 295-321
• Idioma: inglés
• DOI: 10.1007/s13348-018-0231-0
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• Resumen

  • The aim of this paper is twofold. We first strongly improve our previous main result Choi et al. (Proc Am Math Soc 146(8):3233–3248, 2018, Theorem 3.1), concerning classification of irreducible components of the Brill–Noether locus parametrizing rank 2 semistable vector bundles of suitable degrees d, with at least ?−2?+4 independent global sections, on a general ? -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.