2013/02/28 by Sudarshan Gurjar, Gurjar, Sudarshan
Mathematics · #14D06 #14F05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.1302.7223
openalex publication_date 2013/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to give a proof of the restriction theorems for principal bundles with a reductive algebraic group as structure group in arbitrary characteristic. Let G be a reductive algebraic group over any field k=k, let X be a smooth projective variety over k, let H be a very ample line bundle on X and let E be a semistable (resp. stable) principal G-bundle on X w.r.t. H. The main result of this paper is that the restriction of E to a general smooth curve which is a complete intersection of ample hypersurfaces of sufficiently high degree's is again semistable (resp. stable).