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On vector bundles over moduli spaces trivial on Hecke curves (2004.03223v2)

Published 7 Apr 2020 in math.AG

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.

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