Stability of Secant Bundles on Second Symmetric Power of Curves

Suratno Basu; Krishanu Dan

Stability of Secant Bundles on Second Symmetric Power of Curves

Algebraic Geometry 2018-01-09 v2

Authors: Suratno Basu , Krishanu Dan

Abstract

Given a rank $r$ stable bundle over a smooth irreducible projective curve $C,$ there is an associated rank $2r$ bundle over $S^2(C),$ the second symmetric power of $C.$ In this article we study the stability of this bundle. As a consequence we get an immersion from the moduli space of stable bundles over $C$ to the associated moduli space of stable bundles over $S^2(C).$

Keywords

stable bundle moduli space second symmetric power secant bundle algebraic curve immersion stability

Cite

@article{arxiv.1604.00752,
  title  = {Stability of Secant Bundles on Second Symmetric Power of Curves},
  author = {Suratno Basu and Krishanu Dan},
  journal= {arXiv preprint arXiv:1604.00752},
  year   = {2018}
}

Comments

Final version, to appear in Archiv der Mathematik

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