An explicit computation of a family of trivialising étale covers

Abstract

We explicitly compute étale 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 $p\ge 3$.

arXiv comment9 pages

Cited by in corpus (1)

• Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions