An explicit computation of a family of trivialising étale covers

Mathematics – Algebraic Geometry

Scientific paper

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9 pages

Scientific paper

We explicitly compute \'etale covers of the smooth Fermat curves $Y_{p+1} =
\Proj k[u,v,w]/(u^{p+1} + v^{p+1} - w^{p+1})$ which trivialise the vector
bundles $\Syz(u^2, v^2, w^2)(3)$, where $k$ is a field of characteristic $p
\geq 3$.

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