AI & Computingarticle2026-10-10

EXTENSION AND LIFTING OF G -BUNDLES FOR STACKS

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Abstract

Abstract We study extension properties for morphisms of stacks of bundles for group algebraic spaces. Applications are a short proof of the classification of bundles on the projective line for affine smooth group schemes whose identity component is reductive and the existence of splittings of filtered fibre functors for affine smooth group schemes defined over affine schemes.

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View paper (DOI)Open access versionOpenAlexJournal of the Institute of Mathematics of JussieuPublished 2026-10-10

Authors: Torsten Wedhorn

Institutions: Technische Universität Darmstadt