An explicit computation of a family of trivialising étale covers

2011/11/09 by Axel Stäbler, Stäbler, Axel
Computer Science · Engineering · Mathematics · #14H30 (Primary) #14H60 (Secondary) #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14H30 #msc:14H60

paper · pdf · doi:10.48550/arxiv.1111.2131

9 pages

arxiv created 2011/11/09 · openalex publication_date 2011/11/09 · arxiv updated 2011/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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(u², v², w²)(3), where k is a field of characteristic p ≥ 3.

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