Endlicher Körper/Projektive glatte Kurve/Vektorbündel/Stark semistabil Grad 0/Trivialisierbar/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 degree ${}0$.

Then there exists a finite morphism

$\varphi \colon Y\longrightarrow X$

such that ${}\varphi ^{*}(E)$ is trivial.