Semistability of Certain Bundles on Second Symmetric Power of a Curve

Krishanu Dan; Sarbeswar Pal

doi:10.1016/j.geomphys.2016.01.009

Semistability of Certain Bundles on Second Symmetric Power of a Curve

Algebraic Geometry 2016-03-23 v1

Authors: Krishanu Dan , Sarbeswar Pal

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Abstract

Let $C$ be a smooth irreducible projective curve and $E$ be a rank 2 stable vector bundle on $C$ . Then one can associate a rank 4 vector bundle $\mathcal{F}_2(E)$ on $S^2(C)$ , second symmetric power of $C$ . Our goal in this article is to study semistability of this bundle.

Keywords

semistability vector bundle second symmetric power smooth irreducible projective curve stable bundle rank 4 bundle

Cite

@article{arxiv.1503.08910,
  title  = {Semistability of Certain Bundles on Second Symmetric Power of a Curve},
  author = {Krishanu Dan and Sarbeswar Pal},
  journal= {arXiv preprint arXiv:1503.08910},
  year   = {2016}
}

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