Rational curves on moduli spaces of vector bundles

被引：1
|
作者：
Mustopa, Yusuf [1 ]
Teixidor i Bigas, Montserrat [2 ]
机构：
[1] Univ Massachusetts Boston, Dept Math, 100 Morrissey Blvd, Boston, MA 02125 USA
[2] Tufts Univ, Math Dept, 177 Coll Ave, Medford, MA 02155 USA
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2025年 / 36卷 / 03期
关键词：
moduli spaces of vector bundles; rational curves; rational connectedness; Hilbert scheme; BRILL-NOETHER; CONJECTURE; FAMILIES;
D O I：
10.1142/S0129167X24500800
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
W describe the unobstructed components of the Hilbert Scheme of rational curves of fixed degree k in the moduli space U-C(r,L) of stable vector bundles of rank r and determinant L on a curve C. We show that for every k, there are gcd(r,deg L) such components. We construct obstructed components of the Hilbert Scheme. We also obtain an upper bound on the degree of rational connectedness of U-C(r,L) which is linear in the dimension.
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页数：20
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