Fermat-Kubik/Syz (x^2,y^2,z^2)/Stark semistabil/Beispiel/en

Let  $R=K[x,y,z]/(x^3+y^3+z^3)$,  where $K$ is a field of positive characteristic  $p\ne 3$,   $I=(x^2,y^2,z^2)$,  and

$C=\mathrm{Proj}\left(R\right).$

The equation  $x^3+y^3+z^3=0$  yields the short exact sequence

$0⟶{𝒪}_C⟶\mathrm{Syz}(x^2,y^2,z^2)(3)⟶{𝒪}_C⟶0.$

This shows that $\mathrm{Syz}(x^2,y^2,z^2)$ is strongly semistable.