Endlicher Körper/Projektive glatte Kurve/Vektorbündel/Stark semistabil Grad nichtnegativ/Endliche Annulation/Fakt/en

Let $K$ denote a finite field (or the algebraic closure of a finite field) and let $X$ be a smooth projective curve over $K$. Let $E$ be a strongly semistable locally free sheaf over $X$ of nonnegative degree and let  $c\in H^1(X,E)$  denote a cohomology class.

Then there exists a finite morphism

$\phi :Y⟶X$

such that ${\phi }^{\ast }(c)$ is trivial.