
TL;DR
This paper explores the structure of the affine group scheme associated with the category of stratified vector bundles on a smooth algebraic variety over an algebraically closed field, revealing its Tannakian properties.
Contribution
It investigates the affine group scheme linked to the neutral Tannakian category of stratified vector bundles, providing new insights into their algebraic and categorical structure.
Findings
Identification of the affine group scheme as a Tannakian group
Characterization of stratified vector bundles within the Tannakian framework
Insights into the algebraic structure of stratified bundles
Abstract
The stratified vector bundles on a smooth variety defined over an algebraically closed field form a neutral Tannakian category over . We investigate the affine group--scheme corresponding to this neutral Tannakian category.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds
