Principal bundles under reductive groups

2015/06/25 by Peter O’Sullivan, O'Sullivan, Peter
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1506.07828

openalex publication_date 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be a field of characteristic 0. We consider principal bundles over a k-scheme with reductive structure group (not necessarily of finite type). It is showm in particular that for k algebraically closed there exists on any complete connected k-scheme a universal such bundle. As a consequence, an explicit description of principal bundles with reductive structure group over curves of genus 0 or 1 is obtained.

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