Work

Rational curves on moduli spaces of vector bundles

Year: 2024

Type: article

Abstract: W describe the unobstructed components of the Hilbert Scheme of rational curves of fixed degree [Formula: see text] in the moduli space [Formula: see text] of stable vector bundles of rank [Formula: see text] and determinant [Formula: see text] on a curve [Formula: see text]. We show that for every [Formula: see text], there are [Formula: see text] such components. We construct obstructed components of the Hilbert Scheme. We also obtain an upper bound on the degree of rational connectedness of [Formula: see text] which is linear in the dimension.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x24500800

Authors: Yusuf Mustopa, Montserrat Teixidor i Bigas

Institutions: University of Massachusetts Boston, Tufts University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3045290363

FWCI: 1.341

Cites: 21

Cited by: 3

Related to: 10