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

被引：0

作者：

Choi, Youngook ^{[1
]}

Flamini, Flaminio ^{[2
]}

Kim, Seonja ^{[3
]}

机构：

[1] Yeungnam Univ, Dept Math Educ, 280 Daehak Ro, Gyongsan 38541, Gyeongbuk, South Korea

[2] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy

[3] Chungwoon Univ, Dept Elect Engn, Incheon 22100, South Korea

来源：

COLLECTANEA MATHEMATICA | 2019年 / 70卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Stable rank 2 bundles; Brill-Noether loci; General -gonal curves; Hilbert schemes;

D O I：

10.1007/s13348-018-0231-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 d-2g+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.

引用

页码：295 / 321

页数：27

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