On vector bundles over moduli spaces trivial on Hecke curves

Indranil Biswas; Tomas L. Gomez

paper

On vector bundles over moduli spaces trivial on Hecke curves

arXiv:2004.03223

Abstract

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

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