On (k,l)-stable vector bundles over algebraic curves

2012/02/08 by O. Mata-Gutiérrez, Mata-Gutiérrez, Osbaldo · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1202.1632

Abstract

In this paper, we study the (k,l)-stable vector bundles over non-singular projective curve X of genus g≥ 2, its relation with stability and Segre invariants. For rank 2 and 3, we give an explicit description and relation of (k,l)-stability and Brill-Noether loci.

Cited by

• On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve

Related

• Brill-Noether Theory for stable vector bundles
• Brill--Noether loci of stable rank--two vector bundles on a general curve
• Stable extensions by line bundles
• Excess dimensions for Brill-Noether schemes of stable vector bundles
• Stable maps of genus zero in the space of stable vector bundles on a\n curve