On vector bundles over moduli spaces trivial on Hecke curves

Indranil Biswas; Tomas L. Gomez

On vector bundles over moduli spaces trivial on Hecke curves

Algebraic Geometry 2021-03-10 v2

Authors: Indranil Biswas , Tomas L. Gomez

Abstract

Let $M_X(r,\xi)$ be the moduli space of stable vector bundles, on a smooth complex projective curve $X$ , of rank $r$ and fixed determinant $\xi$ such that $\deg(\xi)$ is coprime to $r$ . If $E$ is a vector bundle $M_X(r,\xi)$ whose restriction to every Hecke curve in $M_X(r,\xi)$ is trivial, we prove that $E$ is trivial.

Keywords

vector bundles moduli spaces hecke curves stable bundles projective curve

Cite

@article{arxiv.2004.03223,
  title  = {On vector bundles over moduli spaces trivial on Hecke curves},
  author = {Indranil Biswas and Tomas L. Gomez},
  journal= {arXiv preprint arXiv:2004.03223},
  year   = {2021}
}

Comments

Final version; to appear in Proc. Amer. Math. Soc

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