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

Abstract

In this paper, we study the $(k,l)$-stable vector bundles over non-singular projective curve $X$ of genus $g\ge 2,$ 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.

arXiv commentThis paper has been withdrawn. Developments of the results presented in this paper will be presented in other paper

Cited by in corpus (1)

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